Remarks on rich subspaces of Banach spaces

Vladimir Kadets; Nigel Kalton; Dirk Werner

Studia Mathematica (2003)

  • Volume: 159, Issue: 2, page 195-206
  • ISSN: 0039-3223

Abstract

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We investigate rich subspaces of L₁ and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.

How to cite

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Vladimir Kadets, Nigel Kalton, and Dirk Werner. "Remarks on rich subspaces of Banach spaces." Studia Mathematica 159.2 (2003): 195-206. <http://eudml.org/doc/285257>.

@article{VladimirKadets2003,
abstract = {We investigate rich subspaces of L₁ and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.},
author = {Vladimir Kadets, Nigel Kalton, Dirk Werner},
journal = {Studia Mathematica},
keywords = {Daugavet property; rich subspace; narrow operator},
language = {eng},
number = {2},
pages = {195-206},
title = {Remarks on rich subspaces of Banach spaces},
url = {http://eudml.org/doc/285257},
volume = {159},
year = {2003},
}

TY - JOUR
AU - Vladimir Kadets
AU - Nigel Kalton
AU - Dirk Werner
TI - Remarks on rich subspaces of Banach spaces
JO - Studia Mathematica
PY - 2003
VL - 159
IS - 2
SP - 195
EP - 206
AB - We investigate rich subspaces of L₁ and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.
LA - eng
KW - Daugavet property; rich subspace; narrow operator
UR - http://eudml.org/doc/285257
ER -

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