Existence and uniqueness of greedy bases in Banach spaces

preprint2015arXivOpen access

Our aim is to investigate the properties of existence and uniqueness of greedy bases in Banach spaces. We show the non-existence of greedy basis in some Nakano spaces and Orlicz sequence spaces and produce the first-known examples of non-trivial spaces (i.e., different from $c_0$ , $\ell_1$ , and $\ell_2$ ) with a unique greedy basis.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Write a reviewWrite

No reviews yet.

Add a commentWrite

No comments yet.

Existence and uniqueness of greedy bases in Banach spaces

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0