Contemporary Mathematics 1995; 380 pp; softcover Volume: 185 ISBN10: 0821802984 ISBN13: 9780821802984 List Price: US$80 Member Price: US$64 Order Code: CONM/185
 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 crosspollination 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. Readership 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
