On l^∞ subspaces of Banach spaces.

Patrick N. Dowling

Collectanea Mathematica (2000)

  • Volume: 51, Issue: 3, page 255-260
  • ISSN: 0010-0757

Abstract

top
We obtain refinement of a result of Partington on Banach spaces containing isomorphic copies of l-∞. Motivated by this result, we prove that Banach spaces containing asymptotically isometric copies of l-∞ must contain isometric copies of l-∞.

How to cite

top

Dowling, Patrick N.. "On l^∞ subspaces of Banach spaces.." Collectanea Mathematica 51.3 (2000): 255-260. <http://eudml.org/doc/41584>.

@article{Dowling2000,
abstract = {We obtain refinement of a result of Partington on Banach spaces containing isomorphic copies of l-∞. Motivated by this result, we prove that Banach spaces containing asymptotically isometric copies of l-∞ must contain isometric copies of l-∞.},
author = {Dowling, Patrick N.},
journal = {Collectanea Mathematica},
keywords = {Espacios de Banach; Geometría de subespacios; Banach space; asymptotically isometric copy},
language = {eng},
number = {3},
pages = {255-260},
title = {On l^∞ subspaces of Banach spaces.},
url = {http://eudml.org/doc/41584},
volume = {51},
year = {2000},
}

TY - JOUR
AU - Dowling, Patrick N.
TI - On l^∞ subspaces of Banach spaces.
JO - Collectanea Mathematica
PY - 2000
VL - 51
IS - 3
SP - 255
EP - 260
AB - We obtain refinement of a result of Partington on Banach spaces containing isomorphic copies of l-∞. Motivated by this result, we prove that Banach spaces containing asymptotically isometric copies of l-∞ must contain isometric copies of l-∞.
LA - eng
KW - Espacios de Banach; Geometría de subespacios; Banach space; asymptotically isometric copy
UR - http://eudml.org/doc/41584
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.