Function spaces : Fourth Conference on Function Spaces, May 14-19, 2002, Southern Illinois University at Edwardsville / Krzysztof Jarosz, editor.

Format:

Book

Conference/Event

Contributor:

Jarosz, Krzysztof, 1953- editor.

Conference Name:

Conference on Function Spaces (4th : 2002 : Southern Illinois University at Edwardsville), issuing body.

Series:

Contemporary mathematics (American Mathematical Society) ; v. 328.

Contemporary mathematics, 0271-4132 ; 328

Language:

English

Subjects (All):

Function spaces--Congresses.

Function spaces.

Physical Description:

1 online resource (330 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2003]

Language Note:

English

Summary:

This volume presents papers from the Fourth Conference on Function Spaces. The conference brought together mathematicians interested in various problems within the general area of function spaces, allowing for discussion and exchange of ideas on those problems and related questions. The lectures covered a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), $Lp$-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and related subjects. Included are 26 articles written by leading experts. Known results, open problems, and new discoveries are featured. Most papers are written for nonexperts, so the book can serve as a good introduction to the material presented.

Contents:

""2. Definitions and elementary properties""""3. l-algebra multiplications in C (X)""; ""4. Multiplication by an element as an operator""; ""5. Uniform completion and Dedekind completion""; ""6. Powers in l-algebras""; ""7. Functional Calculus on Æ?-algebras""; ""8. Relationships between l-algebra multiplications""; ""9. Connection between algebra and Riesz homomorphisms""; ""10. Positive derivations""; ""11. Cauchy-Schwarz inequalities""; ""12. Order biduals""; ""13. Ideal theory""; ""14. Representation of Æ?-algebras""; ""15. Linear biseparating maps on Æ?-algebras""; ""References""

""The Krull nature of locally C*-algebras""""Characterizations and automatic linearity for ring homomorphisms on algebras of functions""; ""Carleson embeddings for weighted Bergman spaces""; ""Weak* -extreme points of injective tensor product spaces""; ""Determining sets and fixed points for holomorphic endomorphisms""; ""Localization in the spectral theory of operators on Banach spaces""; ""Abstract harmonic analysis, homological algebra, and operator spaces""; ""Relative tensor products for modules over von Neumann algebras""; ""Uniform algebras generated by unimodular functions""

""Analytic functions on compact groups and their applications to almost periodic functions""""I. Analytic Functions on Groups""; ""1. Almost periodic functions""; ""2. Shift invariant algebras on groups""; ""II. Shift Invariant Algebras on Groups""; ""1. Radó's and Riemann's theorems for analytic functions on groups""; ""2. Extension of linear multiplicative functionals of shift invariant algebras on groups""; ""3. Automorphisms of shift invariant algebras on groups""; ""4. Primary ideals of algebras of analytic functions on solenoidal groups""; ""5. Asymptotic almost periodic functions""

""III. Inductive limits and Shift Invariant Algebras on Solenoidal Groups""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7918-9

0-8218-5663-4