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Multivariable Operator Theory
Edited by: Raúl E. Curto, Ronald G. Douglas, Joel D. Pincus, and Norberto Salinas

Contemporary Mathematics
1995; 380 pp; softcover
Volume: 185
ISBN-10: 0-8218-0298-4
ISBN-13: 978-0-8218-0298-4
List Price: US$80
Member Price: US$64
Order Code: CONM/185
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This volume contains a collection of papers presented at the Summer Research Conference on Multivariable Operator Theory, held in July 1993 at the University of Washington in Seattle. The articles contain contributions to a variety of areas and topics which may be viewed as forming an emerging new subject. This subject involves the study of geometric rather than topological invariants associated with the general theme of operator theory in several variables. Developments have occurred in several different directions, with the aid of a variety of techniques, and many advances have been made through cross-pollination among different areas of mathematics. The goal of the conference, and of this volume, is to spur discussion of the connections among the various approaches and new directions for research.


Current and future mathematical physicists.

Table of Contents

  • D. W. Albrecht -- Explicit formulae for Taylor's functional calculus
  • J. Arazy -- A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains
  • B. Bagchi and G. Misra -- Homogeneous operators and systems of imprimitivity
  • D. E. Barrett -- Duality between \(A^\infty\) and \(A^{-\infty }\) on domains with nondegenerate corners
  • K. R. Davidson -- Commutative subspace lattices, complete distributivity and approximation
  • R. G. Douglas -- Models and resolutions for Hilbert modules
  • L. Fialkow -- Positivity, extensions and the truncated complex moment problem
  • D. Gong and J. Pincus -- Torsion invariants for finite von Neumann algebras
  • J. Kaminker -- Algebraic \(K\)-theory invariants for operator theory
  • S. G. Krantz -- Fundamentals of harmonic analysis on domains in complex space
  • R. N. Levy -- Spectral picture and index invariants of commuting \(n\)-tuples of operators
  • H. Li and D. H. Luecking -- Schatten class of Hankel and Toeplitz operators on the Bergman space of strongly pseudoconvex domains
  • M. Mathieu -- Operator equations with elementary operators
  • A. Octavio -- Membership in the class \(\mathbb A^{(2)}_{\aleph _0}(\mathcal H)\)
  • J. Peetre and R. Rochberg -- Higher order Hankel forms
  • V. S. Perera -- Real valued spectral flow
  • M. Putinar -- Abstract \(\overline {\partial }\)-resolutions for several commuting operators
  • N. Salinas -- Toeplitz \(C^\ast\)-algebras and several complex variables
  • F.-H. Vasilescu -- Positivity conditions and standard models for commuting multioperators
  • D. Xia -- Trace formulas and completely unitary invariants for some \(k\)-tuples of commuting operators
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