Ebook: Functional Analysis: Proceedings of the Seminar at the University of Texas at Austin, 1986–87

The articles in this volume are based on talks given in a seminar at Austin during 1986-87. They range from those dealing with fresh research and discoveries to exposition and new proofs of older results. The main topics and themes include geometric and analytic properties of infinite-dimensional Banach spaces and their convex subsets as well as some aspects of Banach spaces associated with harmonic analysis and Banach algebras.

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The articles in this volume are based on talks given in a seminar at Austin during 1986-87. They range from those dealing with fresh research and discoveries to exposition and new proofs of older results. The main topics and themes include geometric and analytic properties of infinite-dimensional Banach spaces and their convex subsets as well as some aspects of Banach spaces associated with harmonic analysis and Banach algebras.

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The articles in this volume are based on talks given in a seminar at Austin during 1986-87. They range from those dealing with fresh research and discoveries to exposition and new proofs of older results. The main topics and themes include geometric and analytic properties of infinite-dimensional Banach spaces and their convex subsets as well as some aspects of Banach spaces associated with harmonic analysis and Banach algebras.
Content:
Front Matter....Pages i-v
On the Choquet representation theorem....Pages 1-32
Extraction of almost symmetric subsequences in r.i. spaces....Pages 33-42
Concepts in the real interpolation of Banach spaces....Pages 43-53
On almost i.i.d. subsequences of the trigonometric system....Pages 54-63
An example concerning strong regularity and points of continuity in Banach spaces....Pages 64-79
On certain convex subsets of c 0 ....Pages 80-111
Complemented translation-invariant subspaces....Pages 112-125
Averaging weakly null sequences....Pages 126-144
On approximation numbers of the canonical embedding ? p m ? ? q m ....Pages 145-149
JH* had the C*PCP....Pages 150-155
L 1-Convexity....Pages 156-174
Spectra in quasi-Banach algebras....Pages 175-178
On similarity of nests in hilbert space and in Banach spaces....Pages 179-194
A proof of Borsuk's theorem....Pages 195-202
Back Matter....Pages 203-207

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The articles in this volume are based on talks given in a seminar at Austin during 1986-87. They range from those dealing with fresh research and discoveries to exposition and new proofs of older results. The main topics and themes include geometric and analytic properties of infinite-dimensional Banach spaces and their convex subsets as well as some aspects of Banach spaces associated with harmonic analysis and Banach algebras.
Content:
Front Matter....Pages i-v
On the Choquet representation theorem....Pages 1-32
Extraction of almost symmetric subsequences in r.i. spaces....Pages 33-42
Concepts in the real interpolation of Banach spaces....Pages 43-53
On almost i.i.d. subsequences of the trigonometric system....Pages 54-63
An example concerning strong regularity and points of continuity in Banach spaces....Pages 64-79
On certain convex subsets of c 0 ....Pages 80-111
Complemented translation-invariant subspaces....Pages 112-125
Averaging weakly null sequences....Pages 126-144
On approximation numbers of the canonical embedding ? p m ? ? q m ....Pages 145-149
JH* had the C*PCP....Pages 150-155
L 1-Convexity....Pages 156-174
Spectra in quasi-Banach algebras....Pages 175-178
On similarity of nests in hilbert space and in Banach spaces....Pages 179-194
A proof of Borsuk's theorem....Pages 195-202
Back Matter....Pages 203-207
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