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

Abstract

top
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].

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.