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Spectral Analysis and Its Applications: Ion Colojoară Anniversary Volume
Edited by: Aurelian Gheondea, Bilkent University, Turkey, and Mihai Şabac, University of Bucharest, Romania
A publication of the Theta Foundation.
International Book Series of Mathematical Texts
2003; 216 pp; hardcover
ISBN-10: 973-85432-3-1
ISBN-13: 978-973-85432-3-2
List Price: US$34
Member Price: US$27.20
Order Code: THETA/5
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This book is dedicated to Ion Colojoara, one of the main contributors to the development of spectral theory in Banach spaces. It contains survey papers and a careful selection of research papers by Colojoara's colleagues, former students, and prominent researchers in the field.

Topics include:

  • growth properties of resolvents
  • positive definite operator measures and operator-valued functions
  • spectral spaces of bounded operators
  • realization techniques for analytic functions of several variables
  • perturbation theory and spectral resolutions in Krein spaces
  • orthogonal polynomials in several non-commuting variables
  • idempotent linear relations and generalized projection on Hilbert spaces

The book is suitable for graduate students and researchers interested in operator theory.

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

Readership

Graduate students and research mathematicians interested in operator theory.

Table of Contents

  • E. Albrecht and W. Ricker -- Local spectral theory for operators with thin spectrum
  • C.-G. Ambrozie -- A remark on operator-valued positive-definite functions
  • T. Ya. Azizov and V. A. Straus -- Spectral decompositions for special classes of self-adjoint and normal operators on Krein spaces
  • T. Constantinescu -- Orthogonal polynomials in several non-commuting variables. I.
  • J. Eschmeier and M. Putinar -- On bounded analytic extensions in \(\mathbb{C}^n\)
  • P. Jonas -- On locally definite operators in Krein spaces
  • J.-P. Labrousse -- Idempotent linear relations
  • V. Lyance and G. Chuiko -- Rings of projectors and operator-valued measures
  • M. Şabac -- Commutators, intertwining operators and invariant subspaces
  • F.-H. Vasilescu -- Spectral measures and moment problems
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