Banach Algebras 97: Proceedings of the 13th International Conference on Banach Algebras held at the Heinrich Fabri Institute of the University of Tübingen in Blaubeuren, July 20-August 3, 1997

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Banach Algebras 97

Proceedings of the 13th International Conference on Banach Algebras held at the Heinrich Fabri Institute of the University of Tübingen in Blaubeuren, July 20-August 3, 1997

Edited by: Ernst Albrecht and Martin Mathieu

Language: English

Published/Copyright: 1998

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De Gruyter Proceedings in Mathematics

Topics

Mathematics Algebra and Number Theory

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Frontmatter
i

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Preface
v

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Contents
vii

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Historical Note
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A history of conferences on Banach algebras
3
H. Garth Dales

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Research Articles
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Commutant algebras for certain differential operators in L^p(ℝ)
27
Ernst Albrecht and Werner J. Ricker

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Algebras of smooth functions
43
G. R. Allan, G. Kakiko, A. G. O’Farrell and R. O. Watson

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Sur les transformations qui conservent le spectre
55
Bernard Aupetit

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Localized L¹-factorization for absolutely continuous contractions
79
Isabelle Chalendar

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Averaging with virtual diagonals and geometry of representations
87
Gustavo Corach and José E. Galé

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Second-order cohomology groups of some semigroup algebras
101
H. Garth Dales and John Duncan

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Compact elements in weighted discrete semigroup algebras
119
Haresh V. Dedania

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C₀₀-representations of H∞(G) with dominating Harte spectrum
135
Jörg Eschmeier

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Embedding semigroups in commutative radical Banach algebras
153
Jean Esterle

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Generalizations of Fredholm operators
169
Sandy Grabiner

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Oka’s principle for special Fréchet Lie groups and homogeneous manifolds in topological algebras of the microlocal analysis
189
Bernhard Gramsch

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Some concepts from group cohomology in the Banach algebra context
205
Niels Grønbœk

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Weak amenability of C*-algebras and a theorem of Goldstein
223
Uffe Haagerup and Niels J. Laustsen

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The generalized Carleson condition in certain spaces of analytic functions
245
Andreas Hartmann

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Description of spatially projective operator C*-algebras, and around it
261
Alexander Ya. Helemskiĭ

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Endomorphisms of Banach algebras of infinitely differentiable functions
273
Herbert Kamowitz

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The Browder spectrum through local spectral theory
287
Kjeld Β. Laursen

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On ⍦*- and C*-algebras of pseudodifferential operators on manifolds with conical singularities
303
Robert Lauter

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Amenable Banach algebras with discrete spectrum
325
Richard J. Loy

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Excision in the cohomology of Banach algebras with coefficients in dual bimodules
341
Zinaida A. Lykova and Michael C. White

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Extending the norm from special Jordan triple systems to their associative envelopes
363
Antonio Moreno Galindo

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Natural spectrum, natural local spectra, and spectral mapping theorems for multipliers on Banach algebras
377
Michael M. Neumann

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Invariant subspaces for tuples with normal dilations
397
Sandra Pott

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The structure of contractible and amenable Banach algebras
415
Volker Runde

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On some properties of the difference spectrum
431
David L. Salinger and Jan D. Stegeman

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Homological dimensions of tensor products of Banach algebras
441
Yuriĭ V. Selivanov

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Derivations which are unbounded on the polynomials
461
Holger Steiniger

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Elements in the radical of a Banach algebra obeying the unbounded Kleinecke-Shirokov conjecture
475
Marc P. Thomas

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Rare sets and derivations of Banach algebras
489
Yuriĭ V. Turovskiĭ

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Problems and Solutions
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Questions on automatic continuity
509
H. Garth Dales

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Lifting of idempotent operator functions
527
Bernhard Gramsch

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Various notions of amenability, a survey of problems
535
Niels Grønbœk

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List of Open Problems
549

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List of Contributors and Participants
561

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Publishing information

Pages and Images/Illustrations in book

eBook published on:

May 7, 2012

eBook ISBN:

9783110802009

Hardcover published on:

September 4, 1998

Hardcover ISBN:

9783110154665

Edition:

Reprint 2012

Pages and Images/Illustrations in book

Front matter:

9

Main content:

566

https://doi.org/10.1515/9783110802009

eBook ISBN: 9783110802009

Hardcover ISBN: 9783110154665

Keywords for this book

Banach-Algebra; Kongress; Blaubeuren

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Banach Algebras 97

Overview

Topics

Table of contents

Frontmatter

Preface

Contents

A history of conferences on Banach algebras

Commutant algebras for certain differential operators in Lp(ℝ)

Algebras of smooth functions

Sur les transformations qui conservent le spectre

Localized L1-factorization for absolutely continuous contractions

Averaging with virtual diagonals and geometry of representations

Second-order cohomology groups of some semigroup algebras

Compact elements in weighted discrete semigroup algebras

C00-representations of H∞(G) with dominating Harte spectrum

Embedding semigroups in commutative radical Banach algebras

Generalizations of Fredholm operators

Oka’s principle for special Fréchet Lie groups and homogeneous manifolds in topological algebras of the microlocal analysis

Some concepts from group cohomology in the Banach algebra context

Weak amenability of C*-algebras and a theorem of Goldstein

The generalized Carleson condition in certain spaces of analytic functions

Description of spatially projective operator C*-algebras, and around it

Endomorphisms of Banach algebras of infinitely differentiable functions

The Browder spectrum through local spectral theory

On ⍦*- and C*-algebras of pseudodifferential operators on manifolds with conical singularities

Amenable Banach algebras with discrete spectrum

Excision in the cohomology of Banach algebras with coefficients in dual bimodules

Extending the norm from special Jordan triple systems to their associative envelopes

Natural spectrum, natural local spectra, and spectral mapping theorems for multipliers on Banach algebras

Invariant subspaces for tuples with normal dilations

The structure of contractible and amenable Banach algebras

On some properties of the difference spectrum

Homological dimensions of tensor products of Banach algebras

Derivations which are unbounded on the polynomials

Elements in the radical of a Banach algebra obeying the unbounded Kleinecke-Shirokov conjecture

Rare sets and derivations of Banach algebras

Questions on automatic continuity

Lifting of idempotent operator functions

Various notions of amenability, a survey of problems

List of Open Problems

List of Contributors and Participants

Bibliographic data

Commutant algebras for certain differential operators in L^p(ℝ)

Localized L¹-factorization for absolutely continuous contractions

C₀₀-representations of H∞(G) with dominating Harte spectrum

On ⍦- and C-algebras of pseudodifferential operators on manifolds with conical singularities