Norm attaining bilinear forms on C*-algebras

J. Alaminos, R. Payá, and A. R. Villena. "Norm attaining bilinear forms on C*-algebras." Studia Mathematica 157.1 (2003): 47-56. <http://eudml.org/doc/284804>.

@article{J2003,
abstract = {We give a sufficient condition on a C*-algebra to ensure that every weakly compact operator into an arbitrary Banach space can be approximated by norm attaining operators and that every continuous bilinear form can be approximated by norm attaining bilinear forms. Moreover we prove that the class of C*-algebras satisfying this condition includes the group C*-algebras of compact groups.},
author = {J. Alaminos, R. Payá, A. R. Villena},
journal = {Studia Mathematica},
keywords = {continuous bilinear forms; norm attaining bilinear forms; -algebras; weakly compact operators},
language = {eng},
number = {1},
pages = {47-56},
title = {Norm attaining bilinear forms on C*-algebras},
url = {http://eudml.org/doc/284804},
volume = {157},
year = {2003},
}

TY - JOUR
AU - J. Alaminos
AU - R. Payá
AU - A. R. Villena
TI - Norm attaining bilinear forms on C*-algebras
JO - Studia Mathematica
PY - 2003
VL - 157
IS - 1
SP - 47
EP - 56
AB - We give a sufficient condition on a C*-algebra to ensure that every weakly compact operator into an arbitrary Banach space can be approximated by norm attaining operators and that every continuous bilinear form can be approximated by norm attaining bilinear forms. Moreover we prove that the class of C*-algebras satisfying this condition includes the group C*-algebras of compact groups.
LA - eng
KW - continuous bilinear forms; norm attaining bilinear forms; -algebras; weakly compact operators
UR - http://eudml.org/doc/284804
ER -