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Operator Theory and Banach Algebras
Edited by: M. Chidami, University of Rabat, Morocco, R. Curto, University of Iowa, Iowa City, IA, M. Mbekhta, University of Lille, France, F.-H. Vasilescu, University of Lille I, France, and J. Zemánek, Institute of Mathematics, Warsaw, Poland
A publication of the Theta Foundation.
International Book Series of Mathematical Texts
2003; 166 pp; softcover
ISBN-10: 973-85432-1-5
ISBN-13: 978-973-85432-1-8
List Price: US$28
Member Price: US$22.40
Order Code: THETA/3
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This volume contains the proceedings of the International Conference on Operator Theory and Banach Algebras. Over 70 participants from the world over attended. The book contains 14 selected refereed papers; three are written in English and the rest in French. Half are survey papers referring to different domains; the remaining papers contain original results with complete proofs.

The main topics covered are the spectral theory of operators on a Banach space, classes of topological algebras with applications to physics, different classes of operators on Hilbert and Banach space, problems in Banach algebras, Lie algebras of operators, interaction between complex analysis and operator theory, and semigroups of operators.

All papers have been revised to account for recent developments. Overall, they present an accurate overview of the domains considered.

A publication of the Theta Foundation. Distributed worldwide, except in Romania, by the AMS.


Graduate students and research mathematicians interested in analysis.

Table of Contents

  • P. Aiena and M. Gonzalez -- Improjective operators which are not inessential
  • M. Akkar, R. A. Hassani, and A. Blali -- \(C\)-semi-groupes \(\alpha\)-intégrés affiliés à des algèbres d'opérateurs
  • B. Aupetit, E. Makai, M. Mbekhta, and J. Zemánek -- The connected components of the idempotents in the Calkin algebra and their liftings
  • F. Bagarello -- Quantum models and locally convex \(*\)-algebras
  • M. Cabrera and A. A. Mohammed -- Algebra of quotients with bounded evaluation of a normed prime algebra
  • G. Cassier -- Autour de quelques interactions récentes entre l'analyse complexe et la théorie des opérateurs
  • R. E. Curto and W. Y. Lee -- Subnormality and \(k\)-hyponormality of Toeplitz operators: A brief survey and open questions
  • K. B. Laursen -- \((\delta)\)ecomposa\((\beta)\)ility
  • L. W. Marcoux -- A survey of \((U + K)\)-orbits
  • A. Micali -- Sur les algèbres de Banach-Bernstein
  • M. M. Neumann -- Intertwining restrictions and quotients of decomposable operators
  • A. R. Sourour -- The Lie structure of certain algebras of operators
  • C. Trapani -- \(CQ^*\)-algebras of operators: Density properties
  • F.-H. Vasilescu -- Extensions of unbounded symmetric multioperators
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