Zero Jordan product determined Banach algebras

A Banach algebra $A$ is said to be a zero Jordan product determined Banach algebra if every continuous bilinear map $\varphi\colon A\times A\to X$, where $X$ is an arbitrary Banach space, which satisfies $\varphi(a,b)=0$ whenever $a$, $b\in A$ are such that $ab+ba=0$, is of the form $\varphi(a,b)=\sigma(ab+ba)$ for some continuous linear map $\sigma$. We show that all $C^*$-algebras and all group algebras $L^1(G)$ of amenable locally compact groups have this property, and also discuss some applications

Maps preserving zeros of a polynomial

Let \A be an algebra and let $f(x_1,...,x_d)$ be a multilinear polynomial in noncommuting indeterminates $x_i$. We consider the problem of describing linear maps \phi:\A\to \A that preserve zeros of $f$. Under certain technical restrictions we solve the problem for general polynomials $f$ in the case where \A=M_n(F). We also consider quite general algebras \A, but only for specific polynomials $f$.Comment: 11 pages, accepted for publication in Linear Algebra App

The Kadison problem on a class of commutative Banach algebras with closed cone

summary:The main result of the paper characterizes continuous local derivations on a class of commutative Banach algebra $A$ that all of its squares are positive and satisfying the following property: Every continuous bilinear map $\Phi$ from $A\times A$ into an arbitrary Banach space $B$ such that $\Phi(a,b)=0$ whenever $ab=0$, satisfies the condition $\Phi (ab,c)=\Phi(a,bc)$ for all $a,b,c\in A$

Effects of ultrasound treatments on wine microorganisms

Ultrasound is one of the most promising non-thermal an emerging technique in food technology. The objective of the present work was to evaluate the effect of different ultrasonic treatments on the most important wine microbiota (Saccharomyces and non-Saccharomyces yeasts and lactic acid bacteria). Two stages were carried out: the assessment step, where six different ultrasonic treatments (with varying power, time, and pulses) were used on Saccharomyces cerevisiae, Brettanomyces spp., and Lactiplantibacillus plantarum; and the validation step, where two chosen ultrasonic treatments were used on Zigosaccharomyces bailli, Brettanomyces spp., Saccharomyces cerevisiae, Saccharomyces bayanus, Pichia membranifaciens, Schizosaccharomyces pombe, and Hanseniaspora osmophila. The most sensitive microorganism was Brettanomyces spp., and the most resistant was Lactiplantibacillus plantarum. Ultrasonic treatments had varying effects on vitality (delay of growth or maximum OD reduction) and on viability (reduction of microbial growth)

Eficacia y seguridad del adhesivo tisular Tisuacryl en el cierre de la piel de la episiotomía

Se realizó un ensayo clínico fase III, en el Hospital Docente Materno Infantil 10 de Octubre, de Ciudad de La Habana, Cuba, entre julio de 1999 y marzo del 2000, con el objetivo de evaluar la eficacia y seguridad del adhesivo tisular Tisuacryl en el cierre de la piel de la episiotomía. Cada grupo constó de 300 pacientes, de acuerdo a los criterios de inclusión establecidos para el ensayo. En el grupo estudio se presentaron menos molestias en la episiorrafia (95.6 %) que en el grupo control (56.3 %) a los 30 minutos post parto, así como al tercer día posterior al nacimiento (97.6 % vs. 61.3 %). Al séptimo día, los resultados en el afrontamiento, estética y molestias en la herida fueron significativamente mejores con el adhesivo tisular evaluado. Los riesgos relativos de resultados adversos al séptimo día posterior al parto fueron 3.2 veces mayores en relación con afrontamiento y 2.9 veces con la estética no satisfactorias cuando se utilizó catgut cromado al comparar con el Tisuacryl. Para las molestias en la episiorrafia, el riesgo relativo se elevó a 24.2, todos con diferencias estadísticas significativas. Se concluye que el uso del adhesivo tisular Tisuacryl para el cierre de la piel en la episiotomía tiene menor probabilidad de afrontamiento y estética de la herida no satisfactoria y de menor sensación dolorosa en la herida quirúrgica que el catgut cromado.Peer Reviewe

Multimedia Retrieval by Means of Merge of Results from Textual and Content Based Retrieval Subsystems

The main goal of this paper it is to present our experiments in ImageCLEF 2009 Campaign (photo retrieval task). In 2008 we proved empirically that the Text-based Image Retrieval (TBIR) methods defeats the Content-based Image Retrieval CBIR “quality” of results, so this time we developed several experiments in which the CBIR helps the TBIR. The TBIR System [6] main improvement is the named-entity sub-module. In case of the CBIR system [3] the number of low-level features has been increased from the 68 component used at ImageCLEF 2008 up to 114 components, and only the Mahalanobis distance has been used. We propose an ad-hoc management of the topics delivered, and the generation of XML structures for 0.5 million captions of the photographs (corpus) delivered. Two different merging algorithms were developed and the third one tries to improve our previous cluster level results promoting the diversity. Our best run for precision metrics appeared in position 16th, in the 19th for MAP score, and for diversity value in position 11th, for a total of 84 submitted experiments. Our best and “only textual” experiment was the 6th one over 41