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Multivariable Operator Theory
 
Edited by: Raúl E. Curto University of Iowa, Iowa City, IA
Ronald G. Douglas SUNY at Stony Brook, Stony Brook, NY
Norberto Salinas University of Kansas, Lawrence, KS
Multivariable Operator Theory
eBook ISBN:  978-0-8218-7776-0
Product Code:  CONM/185.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Multivariable Operator Theory
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Multivariable Operator Theory
Edited by: Raúl E. Curto University of Iowa, Iowa City, IA
Ronald G. Douglas SUNY at Stony Brook, Stony Brook, NY
Norberto Salinas University of Kansas, Lawrence, KS
eBook ISBN:  978-0-8218-7776-0
Product Code:  CONM/185.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1851995; 380 pp
    MSC: Primary 47; 32; 46; Secondary 30; 43; 19

    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.

    Readership

    Current and future mathematical physicists.

  • Table of Contents
     
     
    • Articles
    • D. W. Albrecht — Explicit formulae for Taylor’s functional calculus [ MR 1332052 ]
    • Jonathan Arazy — A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains [ MR 1332053 ]
    • Bhaskar Bagchi and Gadadhar Misra — Homogeneous operators and systems of imprimitivity [ MR 1332054 ]
    • David E. Barrett — Duality between $A^\infty $ and $A^{-\infty }$ on domains with nondegenerate corners [ MR 1332055 ]
    • Kenneth R. Davidson — Commutative subspace lattices, complete distributivity and approximation [ MR 1332056 ]
    • R. G. Douglas — Models and resolutions for Hilbert modules [ MR 1332057 ]
    • Lawrence Fialkow — Positivity, extensions and the truncated complex moment problem [ MR 1332058 ]
    • Dong Geng Gong and Joel Pincus — Torsion invariants for finite von Neumann algebras [ MR 1332059 ]
    • Jerome Kaminker — Algebraic $K$-theory invariants for operator theory [ MR 1332060 ]
    • Steven G. Krantz — Fundamentals of harmonic analysis on domains in complex space [ MR 1332061 ]
    • R. N. Levy — Spectral picture and index invariants of commuting $n$-tuples of operators [ MR 1332062 ]
    • Huiping Li and Daniel H. Luecking — Schatten class of Hankel and Toeplitz operators on the Bergman space of strongly pseudoconvex domains [ MR 1332063 ]
    • Martin Mathieu — Operator equations with elementary operators [ MR 1332064 ]
    • Alfredo Octavio — Membership in the class ${\bf A}^{(2)}_{\aleph _0}({\scr H})$ [ MR 1332065 ]
    • Jaak Peetre and Richard Rochberg — Higher order Hankel forms [ MR 1332066 ]
    • Vicumpriya S. Perera — Real-valued spectral flow [ MR 1332067 ]
    • Mihai Putinar — Abstract $\overline \partial $-resolutions for several commuting operators [ MR 1332068 ]
    • Norberto Salinas — Toeplitz $C^*$-algebras and several complex variables [ MR 1332069 ]
    • F.-H. Vasilescu — Positivity conditions and standard models for commuting multioperators [ MR 1332070 ]
    • Daoxing Xia — Trace formulas and completely unitary invariants for some $k$-tuples of commuting operators [ MR 1332071 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1851995; 380 pp
MSC: Primary 47; 32; 46; Secondary 30; 43; 19

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.

Readership

Current and future mathematical physicists.

  • Articles
  • D. W. Albrecht — Explicit formulae for Taylor’s functional calculus [ MR 1332052 ]
  • Jonathan Arazy — A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains [ MR 1332053 ]
  • Bhaskar Bagchi and Gadadhar Misra — Homogeneous operators and systems of imprimitivity [ MR 1332054 ]
  • David E. Barrett — Duality between $A^\infty $ and $A^{-\infty }$ on domains with nondegenerate corners [ MR 1332055 ]
  • Kenneth R. Davidson — Commutative subspace lattices, complete distributivity and approximation [ MR 1332056 ]
  • R. G. Douglas — Models and resolutions for Hilbert modules [ MR 1332057 ]
  • Lawrence Fialkow — Positivity, extensions and the truncated complex moment problem [ MR 1332058 ]
  • Dong Geng Gong and Joel Pincus — Torsion invariants for finite von Neumann algebras [ MR 1332059 ]
  • Jerome Kaminker — Algebraic $K$-theory invariants for operator theory [ MR 1332060 ]
  • Steven G. Krantz — Fundamentals of harmonic analysis on domains in complex space [ MR 1332061 ]
  • R. N. Levy — Spectral picture and index invariants of commuting $n$-tuples of operators [ MR 1332062 ]
  • Huiping Li and Daniel H. Luecking — Schatten class of Hankel and Toeplitz operators on the Bergman space of strongly pseudoconvex domains [ MR 1332063 ]
  • Martin Mathieu — Operator equations with elementary operators [ MR 1332064 ]
  • Alfredo Octavio — Membership in the class ${\bf A}^{(2)}_{\aleph _0}({\scr H})$ [ MR 1332065 ]
  • Jaak Peetre and Richard Rochberg — Higher order Hankel forms [ MR 1332066 ]
  • Vicumpriya S. Perera — Real-valued spectral flow [ MR 1332067 ]
  • Mihai Putinar — Abstract $\overline \partial $-resolutions for several commuting operators [ MR 1332068 ]
  • Norberto Salinas — Toeplitz $C^*$-algebras and several complex variables [ MR 1332069 ]
  • F.-H. Vasilescu — Positivity conditions and standard models for commuting multioperators [ MR 1332070 ]
  • Daoxing Xia — Trace formulas and completely unitary invariants for some $k$-tuples of commuting operators [ MR 1332071 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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