**Contemporary Mathematics**

Volume: 32;
1985;
295 pp;
Softcover

MSC: Primary 46;
Secondary 00; 32

**Print ISBN: 978-0-8218-5034-3
Product Code: CONM/32**

List Price: $55.00

AMS Member Price: $44.00

MAA Member Price: $49.50

**Electronic ISBN: 978-0-8218-7617-6
Product Code: CONM/32.E**

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# Proceedings of the Conference on Banach Algebras and Several Complex Variables

Share this page *Edited by *
*F. Greenleaf; D Gulick*

These proceedings result from a conference on Banach Algebras and
Several Complex Variables held June 21–24, 1983, to honor Professor
Charles E. Rickart upon his retirement from Yale University. Articles present
recent advances in a wide spectrum of topics related to Banach algebras,
function algebras and infinite dimensional holomorphy, areas where Professor
Rickart has made important contributions. From a research point of view, the
articles of J. Esterle and B. Kramm are of special interest.

Although the topics in this volume are diverse, a general knowledge of
fundamental notions appearing in Banach algebra theory will suffice for
understanding most articles.

# Table of Contents

## Proceedings of the Conference on Banach Algebras and Several Complex Variables

- Contents ix10 free
- Introduction xi12 free
- Signatures of Participants xiii14 free
- Capacities in cn 116 free
- Holomorphic Left-Inverse Functions 722
- Geometry of Pseudoconvex Open Sets and Distribution of Values of Analytic Multivalued Functions 1530
- Some Results on Range Transformations Between Function Spaces 3550
- Recent Results in the Ideal Theory of Radical Convolution Algebras 6378
- Module Derivations from Commutative Banach Algebras 7186
- Criteria for Boundedness and Compactness of Hankel Operators 8398
- Algebra and Topology in Banach Algebras 97112
- Mittag-Leffler Methods in the Theory of Banach Algebras and a New Approach to Michael's Problem 107122
- Orthogonal and Representing Measures 131146
- Nuclearity (resp. Schwartzity) Helps to Embed Holomorphic Structure into Spectra 143158
- Maximum Modulus Algebras and Multi-Dimensional Analytic Structure 163178
- Central Factorization in C*-Algebras and its Use in Automatic Continuity 169184
- Nonstandard Ideals and Approximations in Primary Weighted l1-Algebras 177192
- Holomorphic Approximation in Lipschitz Norms 187202
- Uses of βS in Invariant Means and Extremely Left Amenable Semigroups 195210
- Deformation Theory for Uniform Algebras: An Introduction 209224
- Nevanlinna's Interpolation Theorem Revisited 217232
- Unbounded Derivations in C*-Algebras and Statistical Mechanics 223238
- Remotely Almost Periodic Functions 237252
- Analytic Multifunctions, q-Plurisubharmonic Functions and Uniform Algebras 243258
- Algebraic Domains in Stein Manifolds 259274
- Sets of Best Approximations to Elements in Certain Function Spaces 267282
- Green's Functions and Polynomial Hulls 273288
- Continuous Homomorphisms and Derivations on Banach Algebras 279294
- The Maximal Ideal Space of a Commutative Banach Algebra 285300