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