Norm attaining operators versus bilinear forms.

Rafael Payá

Extracta Mathematicae (1997)

  • Volume: 12, Issue: 2, page 179-183
  • ISSN: 0213-8743

Abstract

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The well known Bishop-Phelps Theorem asserts that the set of norm attaining linear forms on a Banach space is dense in the dual space [3]. This note is an outline of recent results by Y. S. Choi [5] and C. Finet and the author [7], which clarify the relation between two different ways of extending this theorem.

How to cite

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Payá, Rafael. "Norm attaining operators versus bilinear forms.." Extracta Mathematicae 12.2 (1997): 179-183. <http://eudml.org/doc/38522>.

@article{Payá1997,
abstract = {The well known Bishop-Phelps Theorem asserts that the set of norm attaining linear forms on a Banach space is dense in the dual space [3]. This note is an outline of recent results by Y. S. Choi [5] and C. Finet and the author [7], which clarify the relation between two different ways of extending this theorem.},
author = {Payá, Rafael},
journal = {Extracta Mathematicae},
keywords = {Espacios de Banach; Espacios normados; Operadores acotados; Operadores lineales; space ob bilinear forms; norm attaining bilinear forms; norm attaining operators},
language = {eng},
number = {2},
pages = {179-183},
title = {Norm attaining operators versus bilinear forms.},
url = {http://eudml.org/doc/38522},
volume = {12},
year = {1997},
}

TY - JOUR
AU - Payá, Rafael
TI - Norm attaining operators versus bilinear forms.
JO - Extracta Mathematicae
PY - 1997
VL - 12
IS - 2
SP - 179
EP - 183
AB - The well known Bishop-Phelps Theorem asserts that the set of norm attaining linear forms on a Banach space is dense in the dual space [3]. This note is an outline of recent results by Y. S. Choi [5] and C. Finet and the author [7], which clarify the relation between two different ways of extending this theorem.
LA - eng
KW - Espacios de Banach; Espacios normados; Operadores acotados; Operadores lineales; space ob bilinear forms; norm attaining bilinear forms; norm attaining operators
UR - http://eudml.org/doc/38522
ER -

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