# Reflexive spaces and numerical radius attaining operators.

María D. Acosta; M. Ruiz Galán

Extracta Mathematicae (2000)

- Volume: 15, Issue: 2, page 247-255
- ISSN: 0213-8743

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topAcosta, 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 -

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