Bishop-Phelps-Bolloba's theorem on bounded closed convex sets

This paper deals with the \emph{Bishop-Phelps-Bollob\'as property} (\emph{BPBp} for short) on bounded closed convex subsets of a Banach space $X$, not just on its closed unit ball $B_X$. We firstly prove that the \emph{BPBp} holds for bounded linear functionals on arbitrary bounded closed convex subsets of a real Banach space. We show that for all finite dimensional Banach spaces $X$ and $Y$ the pair $(X,Y)$ has the \emph{BPBp} on every bounded closed convex subset $D$ of $X$, and also that for a Banach space $Y$ with property $(\beta)$ the pair $(X,Y)$ has the \emph{BPBp} on every bounded closed absolutely convex subset $D$ of an arbitrary Banach space $X$. For a bounded closed absorbing convex subset $D$ of $X$ with positive modulus convexity we get that the pair $(X,Y)$ has the \emph{BPBp} on $D$ for every Banach space $Y$. We further obtain that for an Asplund space $X$ and for a locally compact Hausdorff $L$, the pair $(X, C_0(L))$ has the \emph{BPBp} on every bounded closed absolutely convex subset $D$ of $X$. Finally we study the stability of the \emph{BPBp} on a bounded closed convex set for the $\ell_1$-sum or $\ell_{\infty}$-sum of a family of Banach spaces

Classification of Equivariant Complex Vector Bundles over a Circle

In this paper we characterize the fiber representations of equivariant complex vector bundles over a circle and classify these bundles. We also treat the triviality of equivariant complex vector bundles over a circle by investigating the extensions of representations. As a corollary of our results, we calculate the reduced equivariant K-group of a circle for any compact Lie group.Comment: 15 pages, AMS-LaTeX v1.

Classification of equivariant real vector bundles over a circle

This is a continuation of the authors' previous work [math.AT/9910001] on classification of equivariant complex vector bundles over a circle. In this paper we classify equivariant real vector bundles over a circle with a compact Lie group action, by characterizing the fiber representations of them, and by using the result of the complex case. We also treat the triviality of them. The basic phenomenon is similar to the complex case but more complicated here.Comment: 16 pages, AMS-LaTeX v1.

Efekat uključivanja u hranljive smeše aditiva različitog porekla na rast, telesni sastav i otpornost mlađi crnog morskog grgeča (sebastes schlegeli)

U radu je tvrđen efekat uključivanja u hranljive smeše aditiva različitog porekla [đumbir (CG), fermentisana sojina pasta (CJ), borovnica (BB), japanska jabuka (PM), paradajz (TT), brokoli (BC) i jakon (YC)] na rast, telesni sastav i otpornost mlađi crnog morskog grgeča. Hiljadu šesto osamdeset riba je nasumično raspoređeno u 24 protočna tanka zapremine 200 L. Pripremljeno je osam oglednih smeša za ishranu: kontrolna bez dodataka (Con) i smeše sa dodatkom GG, CJ, BB, PM, TT, BC i YC. Svaka od smeša korišćena je u tri tanka, a ribe su 7 nedelja ručno hranjene do sitosti. Posle isteka ovog perioda, dvadeset riba iz svakog tanka inficirano je sa Streptococcus parauberis i praćeno narednih 10 dana. Prirast i specifična stopa rasta (SGR) bili su veći kod riba koje su u hrani dobijale jakon (YC) nego kod onih koje su hranjene drugim smešama. Kumulativni mortalitet do 5. dana posle infekcije bio je niži kod riba koje su hranjene smešama sa dodatkom GG, BB i YC nego kod ostalih jedinki. U zaključku, smeša sa dodatkom YC pokazala se kao najbolja u smislu poboljšanja prirasta i SGR kod crnog morskog grgeča. Osim toga, dodatak GG, BB i YC u smeše bio je najefikasniji u smanjivanju mortaliteta crnog morskog grgeča usled infekcije sa S. parauberi

Strategic Supplier Segmentation: The Next "Best Practice" In Supply Chain Management

No Abstract Provide

Optimalne potrebe juvenilnih morskih grgeča sebastes schlegeli u proteinima i lipidima

U ovom istraživanju su analizirane optimalne potrebe juvenilnih morskih grgeča Sebastes schlegeli u proteinima i lipidima. 810 juvenilnih riba je izabrano po principu slučajnosti i distribuirano u 27 tankova od po 50 L sa protočnih sistemom. Pripremljeno je 9 eksperimentalnih smeša u vidu 3x3 faktorijalne eksperimentalne postavke: tri nivoa proteina (45, 50 i 55%) x tri nivoa lipida (11, 15 i 19%). Nivo proteina je imao uticaj na prirast riba, dok nivo lipida nije. Prirast riba hranjenih smešom u odnosu 50P-15L (50% proteina i 15% lipida) je bio veći nego prirast riba hranjenih smešama sa 45% proteina, bez obzira na nivo lipida, ali je bio isti kao kod riba hranjenih sa smešama 50P-11L, 50P-19L, 55P-11L, 55P-15L i 55P-19L. Stopa efikasnosti hrane (FER) riba je bila pod uticajem proteina u hrani ali ne i nivoa lipida. Stopa efikasnosti proteina (PER) riba je takođe bila pod uticajem proteina u hrani ali ne i nivoa lipida. Može se zaključiti da je za juvenilne Sebastes schlegeli optimalan nivo proteina i lipida za dobar prirast i iskoristljivost hrane (PER and NRE) 50% i 15% odnosno 45% i 19%, dok je optimalan odnos proteina i energije 27.4 i 23.9 mg protein/kJ

Student Progression Through Developmental Sequences in Community Colleges

Developmental education is designed to provide students with weak academic skills the opportunity to strengthen those skills enough to prepare them for college-level coursework. The concept is simple enough—students who arrive unprepared for college are provided instruction to bring them up to an adequate level. But in practice, developmental education (or “remedial” education, we use these terms interchangeably) is complex and confusing. Experts do not agree on the meaning of being “college ready,” and policies governing assessment, placement, pedagogy, staffing, completion, and eligibility for enrollment in college-level, credit-bearing courses vary from state to state, college to college, and program to program. The developmental education process is confusing enough simply to describe, yet from the point of view of the student, especially one with very weak academic skills and little previous success in school, it may appear as a bewildering set of unanticipated obstacles involving several assessments, classes in more than one subject area, and sequences of courses requiring three or more semesters of study before the student (often a high school graduate) is judged prepared for college-level work

Case Study on Convergence Strategies of high-Technology Companies

This paper predicts the convergence strategies of high-technology companies by analyzing current convergence strategies and business sector trends in network IT value chain. Digital convergence and diversification (e.g., Penrose, 1959; Ansoff, 1965; Markides, 1995; Fey, 2000; Montgomery, 1994) in this paper can be defined as the strategies that high-technology companies diversify their businesses to other related business sectors (e.g., Hill and Hoskisson, 1987) in network IT value chain. Network IT value chain is composed of 6 business sectors which are core component, hardware, software, network, content, and service. We analyze the 6 companies as cases of high-technology companies such as Intel, Sony, Nokia, Microsoft, SK Telecom, and Yahoo. This paper is composed of 5 chapters as follows: Chapter I shows the outline of the paper. This chapter specifies research background, objectives and scope. Chapter II analyzes current convergence strategies of 6 companies. Chapter III shows the prediction of business sector trends in network IT value chain. This chapter includes major streams of business sectors and their predicted strategic pathways. Based on the implications of the analysis of current convergence strategies and the prediction of business sector trends, chapter IV predicts the convergence strategies of 6 high-technology companies. Finally, we compare the current strategic positions with the future positions in the perspective of the degree of diversification