Banach spaces of analytic functions and absolutely summing operators / by Aleksander Pelczynski.

Format:

Book

Author/Creator:

Pełczyński, Aleksander, author.

Contributor:

Conference Board of the Mathematical Sciences.

Series:

CBMS Regional Conference Series in Mathematics, 2380-5668 ; v. 30

Language:

English

Subjects (All):

Banach spaces.

Banach algebras.

Absolutely summing operators.

Holomorphic functions.

Physical Description:

1 online resource (91 pages)

Place of Publication:

Providence : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1977.

System Details:

Mode of access : World Wide Web

Contents:

1. Preface 0. Preliminaries 1. The F. and M. Riesz Theorem and Duals of the Disc Algebra 2. Absolutely Summing Operators from the Disc Algebra 3. Absolutely Summing Operators from the Disc Algebra into Hilbert Space 4. The Nonexistence of Local Unconditional Structure for the Disc Algebra and for its Duals 5. Application to Uniform Algebras 6. Uniformly Peaking Families of Functions in $A$ and $H^{\infty }$. The Havin Lemma 7. Characterizations of Weakly Compact Sets in $L^1/H_0^1$ and in $A^*$ 8. Weakly Compact Operators from $A$, $L^1/H_0^1$ and $A^*$ and Complemented Subspaces of These Spaces 9. Complementation of Finite Dimensional Subspaces in $A$, $L^1/H_0^1$ and $H^{\infty }$ 10. Bases and the Approximation Property in Some Spaces of Analytic Functions 11. The Polydisc Algebra and the $n$-Ball Algebra, and Their Duals

Notes:

"Expository lectures from the CBMS regional conference held at Kent State University, July 11-16, 1976."

Includes bibliographical references.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Pełczyński, Aleksander. Banach spaces of analytic functions and absolutely summing operators /

ISBN:

9781470423902 (online)

Access Restriction:

Restricted for use by site license.