Existence and uniqueness of greedy bases in Banach spaces
Functional Analysis
2015-06-01 v1
Abstract
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 , , and ) with a unique greedy basis.
Keywords
Cite
@article{arxiv.1505.08119,
title = {Existence and uniqueness of greedy bases in Banach spaces},
author = {F. Albiac and J. L. Ansorena and S. J. Dilworth and Denka Kutzarova},
journal= {arXiv preprint arXiv:1505.08119},
year = {2015}
}