Reflexive spaces and numerical radius attaining operators.

Acosta, María D., and Ruiz Galán, M.. "Reflexive spaces and numerical radius attaining operators.." Extracta Mathematicae 15.2 (2000): 247-255. <http://eudml.org/doc/38628>.

@article{Acosta2000,
abstract = {In this note we deal with a version of James' Theorem for numerical radius, which was already considered in [4]. First of all, let us recall that this well known classical result states that a Banach space satisfying that all the (bounded and linear) functionals attain the norm, has to be reflexive [16].},
author = {Acosta, María D., Ruiz Galán, M.},
journal = {Extracta Mathematicae},
keywords = {Espacios de Banach; Operadores lineales; Espacio reflexivo; numerical range; numerical radius; rank-one operators; norm-attaining operators; numerical range-attaining operators; James theorem; rank-one operator},
language = {eng},
number = {2},
pages = {247-255},
title = {Reflexive spaces and numerical radius attaining operators.},
url = {http://eudml.org/doc/38628},
volume = {15},
year = {2000},
}

TY - JOUR
AU - Acosta, María D.
AU - Ruiz Galán, M.
TI - Reflexive spaces and numerical radius attaining operators.
JO - Extracta Mathematicae
PY - 2000
VL - 15
IS - 2
SP - 247
EP - 255
AB - In this note we deal with a version of James' Theorem for numerical radius, which was already considered in [4]. First of all, let us recall that this well known classical result states that a Banach space satisfying that all the (bounded and linear) functionals attain the norm, has to be reflexive [16].
LA - eng
KW - Espacios de Banach; Operadores lineales; Espacio reflexivo; numerical range; numerical radius; rank-one operators; norm-attaining operators; numerical range-attaining operators; James theorem; rank-one operator
UR - http://eudml.org/doc/38628
ER -