Invariant subspaces of the Cesaro operator

This paper explores various classes of invariant subspaces of the classical Ces\`{a}ro operator $C$ on the Hardy space $H^2$. We provide a new characterization of the finite co-dimensional $C$-invariant subspaces, based on earlier work of the first two authors, and determine exactly which model spaces are $C$-invariant subspaces. We also describe the $C$-invariant subspaces contained in model spaces and establish that they are all cyclic. Along the way, we re-examine an associated Hilbert space of analytic functions on the unit disk developed by Kriete and Trutt. We also make a connection between the adjoint of the Ces\`{a}ro operator and certain composition operators on $H^2$ which have universal translates in the sense of Rota.Comment: 36 page

Nebraska\u27s Economic Future

Nebraskans like where they live. Young and old, they like the “sense of place” they feel here. They like being part of the legendary work ethic. They like the fact that, for the most part, they feel safe here. They like the fact that Nebraska agriculture helps to feed and power the world. But when people from other states ask them where they’re from, they sound apologetic. The Strategic Discussions for Nebraska team heard variations on that theme everywhere we went. Caleb Pollard, Executive Director of the Ord Chamber of Commerce said it best: “we need for Nebraskans to be proud.” Nebraska is a conservative state, both politically and fiscally. It is constitutionally required to balance the state budget. It is also a state with only 1.7 million people, so there are few people to share the property tax burden. Additionally, Nebraska doesn’t have mineral resources that some states tax heavily, relieving the property tax burden on individuals. However, Nebraska’s sales and income taxes are about the same as its peer states, a fact that is often overlooked when people share concerns about taxes. One of the state’s main concerns is the declining work force, particularly in greater Nebraska. This magazine contains several stories that refer to the work force shortage and the challenges faced by communities that desperately need workers. Nebraska’s Strong Agricultural Base Agriculture has changed in the last century, but it’s a booming business and Nebraskans are knowledgeable about those changes. They know the state is well-suited to growing highquality crops and animals, and they know people in the rest of the world want to buy them. They know the University of Nebraska’s research has been important for Nebraska agriculture, and they support the University of Nebraska-Lincoln’s Nebraska Innovation Campus, which will be built in Lincoln on the site of the Nebraska State Fair when the fair moves to Grand Island in 2010. Nebraska exported nearly $5.5 billion dollars worth of agricultural and manufactured goods in 2008. That’s up from$3.6 billion in 2006 and $4.2 billion in 2007. According to Greg Ibach, Director of the Nebraska Department of Agriculture, exports bring the state a steady flow of domestic and international sales and allow the state to remain strong during financial cycles that affect the U.S. and other countries. Nebraska is fortunate to have not only the natural resources to produce some of the best agricultural products – and can source the needed parts and material for the manufactured products – but also has the people with the needed background, knowledge, experience and work ethic to produce the quality products, Ibach said. Importance of Education and Technology There are no greater proponents of education than people in greater Nebraska. The state’s education system is good and is one of the drawing cards for businesses interested in locating in the state. Nebraskans know that jobs today and in the future will require more knowledge of technology in all its forms. Whether people work in information technology in Omaha, farm near Cozad, ranch near Mullen, read x-rays in Ord, work on locomotives in Alliance or conduct research in one of dozens of locations in the state, they’ll have to know technology. Technology requires consistent broadband access and capacity that statewide, Nebraska just doesn’t have. A conversation participant who lives outside North Platte told us her satellite gives her access to the Internet “as long as it isn’t cloudy.” That isn’t good enough for the needs of rural health care, business development, education or for attracting young people to smaller communities. Infrastructure If a state doesn’t have good infrastructure, it closes doors to economic development and therefore, growth. Infrastructure necessary for every viable community includes water, sewer, electricity, roads and Internet access. Additional infrastructure needs are schools, health care facilities, power plants, transportation and communication. It’s expensive to build these things and expensive to maintain existing facilities. Dr. Doug Kristensen, Chancellor of the University of Nebraska-Kearney, told us many of the state’s school buildings were built about the same time – about 100 years ago – and are beginning to crumble, requiring extensive and costly repairs or replacement. Changing Nebraska’s Layout? The Strategic Discussions for Nebraska team interviewed a number of people who believe Nebraska should change its county structure. Ninety-three counties were needed when people had to use a horse and buggy to get to the county seat, but some say the state could save money if the counties were merged, creating about 15 larger counties. Others say there would be few dollars in savings and would widen the gap between greater Nebraska and eastern Nebraska in accessibility to services. Others suggest a “hub and spoke” regional layout, in which one town would be the hub and about 10 or 12 smaller communities would be the spokes. Trouble is, everybody wants to be the hub. What makes the most sense? Send your opinion to me at [email protected]. We’ll post the results on the Strategic Discussions for Nebraska website: www.unl.edu/sdn. Leadership and Cooperation People told us the state and communities need strong leaders who are willing to partner with other organizations, communities, states and countries for the good of Nebraska as a whole. It also needs leaders who will consider the needs of the entire state, regardless of money, power or special interests. In this magazine, you will find a variety of perspectives on Nebraska’s economy, including the opinions of state and community leaders, academics, business owners and government officials. Each opinion has value, based on the person’s experience, education, location and economic condition

Seabasing and joint expeditionary logistics

Student Integrated ProjectIncludes supplementary material. Executive Summary and Presentation.Recent conflicts such as Operation Desert Shield/Storm and Operation Iraqi Freedom highlight the logistics difficulties the United States faces by relying on foreign access and infrastructure and large supply stockpiles ashore to support expeditionary operations. The Navy's transformational vision for the future, Sea Power 21, involves Seabasing as a way to address these difficulties by projecting and sustaining joint forces globally from the sea. This study analyzes logistics flow to, within and from a Sea Base to an objective, and the architectures and systems needed to rapidly deploy and sustain a brigade-size force. Utilizing the Joint Capabilities Integration and Development System (JCIDS), this study incorporates a systems engineering framework to examine current systems, programs of record and proposed systems out to the year 2025. Several capability gaps that hamper a brigade-size force from seizing the initiative anywhere in the world within a 10-day period point to a need for dedicated lift assets, such as high-speed surface ships or lighter-than-air ships, to facilitate the rapid formation of the Sea Base. Additionally, the study identifies the need for large-payload/high-speed or load-once/direct-to- objective connector capabilities to minimize the number of at-sea transfers required to employ such a force from the Sea Base in 10 hrs. With these gaps addressed, the Joint Expeditionary Brigade is supportable from the Sea Base.http://archive.org/details/seabasingndjoint109456918N

Gerontological Society of America

Objectives: The aim of this study was to examine the association between conscious monitoring and control of movements (i.e., movement specific reinvestment) and visuo-motor control during walking by older adults. Method: The Movement Specific Reinvestment Scale (MSRS; Masters, Eves, & Maxwell, 2005) was administered to ninety-two community-dwelling older adults, aged 65-81 years, who were required to walk along a 4.8-meter walkway and step on the middle of a target as accurately as possible. Participants’ movement kinematics and gaze behavior were measured during approach to the target and when stepping on it. Results: High scores on the MSRS were associated with prolonged stance and double support times during approach to the stepping target, and less accurate foot placement when stepping on the target. No associations between MSRS and gaze behavior were observed. Discussion: Older adults with a high propensity for movement specific reinvestment seem to need more time to “plan” future stepping movements, yet show worse stepping accuracy than older adults with a low propensity for movement specific reinvestment. Future research should examine whether older adults with a higher propensity for reinvestment are more likely to display movement errors that lead to fallin

A History of Universalism: Conceptions of the Internationality of Science from the Enlightenment to the Cold War

That science is fundamentally universal has been proclaimed innumerable times. But the precise geographical meaning of this universality has changed historically. This article examines conceptions of scientific internationalism from the Enlightenment to the Cold War, and their varying relations to cosmopolitanism, nationalism, socialism, and 'the West'. These views are confronted with recent tendencies to cast science as a uniquely European product

Development of a molecular-based micro/nano platform for blood stream infection diagnostics

Blood Stream Infections (BSIs) are a massive burden to health services worldwide, present culture based diagnostic methods identify microorganisms phenotypically, based upon physical characteristics such as morphology, growth or not in a specific medium. These methods require up to 4 days for a complete analysis of a clinical sample in order to determine the cause of the infection and define an appropriate antimicrobial chemotherapy. This standard culturing approach is time consuming, complex, costly and diagnostically limited. Yet reliability, reproducibility and broad use of these methods provide a real world 'Gold Standard' in microbiology that molecular techniques have yet to surpass in the clinical setting. A well-defined molecular approach can theoretically overcome the limitations of the culture-based methodology. A molecular technique could be faster, being able to provide a clinically relevant diagnosis at the point-of-care e.g. the patient's bedside and more accurate providing information about the infection based upon primary molecular data within the sample not on a secondary culture from that clinical sample. When translated to the real world these advantages mean that; the patient can be accurately diagnosed upon presentation to a physician allowing the treatment to be delivered without the need for a long hospital stay or a broad-spectrum antibiotic therapy. This reduces costs and evolutionary pressure upon bacteria to develop resistance to antimicrobial chemotherapies. A molecular approach also allows a simplification of the diagnostic process by employing a lab-on-a-chip framework. By integrating the core components of the molecular approach the infrastructural requirements of health care provider such as; well trained staff, expensive laboratory equipment buildings and resources etc could be reduced to a simple hand held device. This thesis details the multidisciplinary work undertaken to thoroughly define the nature of the problem and the requirements of a solution. The research in defining that solution was conducted within three disciplines, bioinformatics, molecular biology and nanotechnology.EThOS - Electronic Theses Online ServiceGBUnited Kingdo

Development of a molecular-based micro/nano platform for blood stream infection diagnostics

Blood Stream Infections (BSIs) are a massive burden to health services worldwide, present culture based diagnostic methods identify microorganisms phenotypically, based upon physical characteristics such as morphology, growth or not in a specific medium. These methods require up to 4 days for a complete analysis of a clinical sample in order to determine the cause of the infection and define an appropriate antimicrobial chemotherapy. This standard culturing approach is time consuming, complex, costly and diagnostically limited. Yet reliability, reproducibility and broad use of these methods provide a real world 'Gold Standard' in microbiology that molecular techniques have yet to surpass in the clinical setting. A well-defined molecular approach can theoretically overcome the limitations of the culture-based methodology. A molecular technique could be faster, being able to provide a clinically relevant diagnosis at the point-of-care e.g. the patient's bedside and more accurate providing information about the infection based upon primary molecular data within the sample not on a secondary culture from that clinical sample. When translated to the real world these advantages mean that; the patient can be accurately diagnosed upon presentation to a physician allowing the treatment to be delivered without the need for a long hospital stay or a broad-spectrum antibiotic therapy. This reduces costs and evolutionary pressure upon bacteria to develop resistance to antimicrobial chemotherapies. A molecular approach also allows a simplification of the diagnostic process by employing a lab-on-a-chip framework. By integrating the core components of the molecular approach the infrastructural requirements of health care provider such as; well trained staff, expensive laboratory equipment buildings and resources etc could be reduced to a simple hand held device. This thesis details the multidisciplinary work undertaken to thoroughly define the nature of the problem and the requirements of a solution. The research in defining that solution was conducted within three disciplines, bioinformatics, molecular biology and nanotechnology.EThOS - Electronic Theses Online ServiceGBUnited Kingdo

Clark measures and a theorem of Ritt

We determine when a finite Blaschke product $B$ can be written, in a non-trivial way, as a composition of two finite Blaschke products (Ritt's problem) in terms of the Clark measure for $B$. Our tools involve the numerical range of compressed shift operators and the geometry of certain polygons circumscribing the numerical range of the relevant operator. As a consequence of our results, we can determine, in terms of Clark measures, when two finite Blaschke products commute