A conditional quasi-greedy basis of l₁

S. J. Dilworth; David Mitra

Studia Mathematica (2001)

  • Volume: 144, Issue: 1, page 95-100
  • ISSN: 0039-3223

Abstract

top
We show that the Lindenstrauss basic sequence in l₁ may be used to construct a conditional quasi-greedy basis of l₁, thus answering a question of Wojtaszczyk. We further show that the sequence of coefficient functionals for this basis is not quasi-greedy.

How to cite

top

S. J. Dilworth, and David Mitra. "A conditional quasi-greedy basis of l₁." Studia Mathematica 144.1 (2001): 95-100. <http://eudml.org/doc/285270>.

@article{S2001,
abstract = {We show that the Lindenstrauss basic sequence in l₁ may be used to construct a conditional quasi-greedy basis of l₁, thus answering a question of Wojtaszczyk. We further show that the sequence of coefficient functionals for this basis is not quasi-greedy.},
author = {S. J. Dilworth, David Mitra},
journal = {Studia Mathematica},
language = {eng},
number = {1},
pages = {95-100},
title = {A conditional quasi-greedy basis of l₁},
url = {http://eudml.org/doc/285270},
volume = {144},
year = {2001},
}

TY - JOUR
AU - S. J. Dilworth
AU - David Mitra
TI - A conditional quasi-greedy basis of l₁
JO - Studia Mathematica
PY - 2001
VL - 144
IS - 1
SP - 95
EP - 100
AB - We show that the Lindenstrauss basic sequence in l₁ may be used to construct a conditional quasi-greedy basis of l₁, thus answering a question of Wojtaszczyk. We further show that the sequence of coefficient functionals for this basis is not quasi-greedy.
LA - eng
UR - http://eudml.org/doc/285270
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.