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Banach spaces of analytic functions and absolutely summing operators

Author: Aleksander Pełczyński; Conference Board of the Mathematical Sciences.
Publisher: Providence : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, ©1977.
Series: Regional conference series in mathematics, no. 30.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Surveys results concerning bases and various approximation properties in the classical spaces of analytical functions. This book contains bibliographical comments.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Aleksander Pełczyński; Conference Board of the Mathematical Sciences.
ISBN: 0821816802 9780821816806
OCLC Number: 3088917
Notes: "Expository lectures from the CBMS regional conference held at Kent State University, July 11-16, 1976."
Description: 91 pages ; 26 cm.
Contents: Preliminaries The F. and M. Riesz theorem and duals of the disc algebra Absolutely summing operators from the disc algebra Absolutely summing operators from the disc algebra into Hilbert space The nonexistence of local unconditional structure for the disc algebra and for its duals Application to uniform algebras Uniformly peaking families of functions in $A$ and $H^\infty$. The Havin lemma Characterizations of weakly compact sets in $L^1/H^1_0$ and in $A^*$ Weakly compact operators from $A$, $L^1/H^1_0$ and $A^*$ and complemented subspaces of these spaces Complementation of finite dimensional subspaces in $A$, $L^1/H^1_0$ and <$H^\infty$ Bases and the approximation property in some spaces of analytic functions The polydisc algebra and the $n$-ball algebra, and their duals References.
Series Title: Regional conference series in mathematics, no. 30.
Responsibility: by Aleksander Pelczynski.

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