**Contemporary Mathematics**

Volume: 185;
1995;
380 pp;
Softcover

MSC: Primary 47; 32; 46;
Secondary 30; 43; 19

Print ISBN: 978-0-8218-0298-4

Product Code: CONM/185

List Price: $80.00

Individual Member Price: $64.00

**Electronic ISBN: 978-0-8218-7776-0
Product Code: CONM/185.E**

List Price: $80.00

Individual Member Price: $64.00

# Multivariable Operator Theory

Share this page *Edited by *
*Raúl E. Curto; Ronald G. Douglas; Joel D. Pincus; Norberto Salinas*

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.

#### Table of Contents

# Table of Contents

## Multivariable Operator Theory

- Contents vii8 free
- Preface ix10 free
- Explicit formulae for Taylor's functional calculus 112 free
- A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains 718
- Homogeneous operators and systems of imprimitivity 6778
- Duality between A∞ and A–∞ on domains with nondegenerate corners 7788
- Commutative subspace lattices, complete distributivity and approximation 89100
- Models and resolutions for Hilbert modules 109120
- Positivity, extensions and the truncated complex moment problem 133144
- Torsion invariants for finite von Neumann algebras 151162
- Algebraic K-theory invariants for operator theory 187198
- Fundamentals of harmonic analysis on domains in complex space 195206
- Spectral picture and index invariants of commuting n-tuples of operators 219230
- Schatten class of Hankel and Toeplitz operators on the Bergman space of strongly pseudoconvex domains 237248
- Operator equations with elementary operators 259270
- Membership in the class A(2)ℵ0 (H) 273284
- Higher order Hankel forms 283294
- Real valued spectral flow 307318
- Abstract ∂-resolutions for several commuting operators 319330
- Toeplitz C* -algebras and several complex variables 339350
- Positivity conditions and standard models for commuting multioperators 347358
- Trace formulas and completely unitary invariants for some k-tuples of commuting operators 367378

#### Readership

Current and future mathematical physicists.