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Hot Topics in Operator Theory: Conference Proceedings, Timişoara, June 29-July 4, 2006
Edited by: Ronald G. Douglas, Texas A & M University, College Station, TX, Jean Esterle, University of Bordeaux I, Talence, France, Dumitru Gaspar, West University of Timişoara, Timisoara, Romania, Dan Timotin, Institute of Mathematics, Bucharest, Romania, and Florian-Horia Vasilescu, University of Lille I, Villeneuve d'Ascq, France
A publication of the Theta Foundation.
 International Book Series of Mathematical Texts 2008; 229 pp; hardcover ISBN-10: 973-87899-2-3 ISBN-13: 978-973-87899-2-0 List Price: US$56 Member Price: US$44.80 Order Code: THETA/12 The volume represents the proceedings of the 21st International Conference on Operator Theory, held in Timisoara, Romania, in 2006. Three of the included papers are surveys on active areas of research: renormalization group in algebraic quantum field theory composition operators on Hardy-Orlicz and Banach-Orlicz spaces operator ideals on Hilbert spaces The remaining fourteen papers contain original research on a wide variety of topics: single operator theory Banach algebras $$C^*$$-algebras von Neumann algebras Hilbert and Banach modules differential and integral operators noncommutative probability spectral theory A publication of the Theta Foundation. Distributed worldwide, except in Romania, by the AMS. Readership Graduate students and research mathematicians interested in analysis. Table of Contents A. M. Bikchentaev -- Local convergence in measure on semifinite algebras. III I. Biswas, G. Misra, and C. Varughese -- Geometric invariants from the resolution for the quotient module along a multi-dimensional grid M. R. Buneci -- Borel morphisms and $$C^*$$-algebras G. Cassier and L. Suciu -- Mapping theorems and similarity to contractions for classes of $$A$$-contractions A. Colojoarǎ -- Symmetric algebra of$$\mathcal{L}(X,F)$$ as an algebra of polynomials R. Conti, C. D'Antoni, and G. Morsella -- Renormalization group in algebraic quantum field theory: past, present and future R. G. Douglas -- Essentially reductive Hilbert modules. II M. Joiţa -- Countably generated Hilbert modules, multiplier modules, and stable isomorphisms of locally $$C^*$$-algebras V. Kaftal and G. Weiss -- A survey on the interplay between arithmetic mean ideals, traces, lattices of operator ideals, and an infinite Schur-Horn majorization theorem L. D. Lemle -- $$L^\infty$$-uniqueness of Schrödinger operators restricted in an open domain M. Megan and L. Buliga -- Nonuniform exponential trichotomy for linear difference equations in Banach spaces M. Megan and C. Stoica -- Equivalent definitions for uniform exponential trichotomy of evolution operators in Banach spaces H. Queffélec -- Composition operators on Hardy-Orlicz and Bergman-Orlicz spaces of the disk F. Rǎdulescu -- The von Neumann algebra of the non-residually finite Baumslag group $$\langle a,b|ab^{3}a^{-1}=b^{2} \rangle$$ embeds into $$R^{\omega}$$ S. M. Stoian -- Spectral properties for locally bounded operators L. Suciu -- Block representation for $$A$$-contractions L. Zielinski -- Eigenvalue asymptotics for a class of Jacobi matrices