Greedy approximation for biorthogonal systems in quasi-Banach spaces
Functional Analysis
2019-03-29 v1
Abstract
The general problem addressed in this work is the development of a systematic study of the thresholding greedy algorithm for general biorthogonal systems (also known as Markushevich bases) in quasi-Banach spaces from a functional-analytic point of view. We revisit the concepts of greedy, quasi-greedy, and almost greedy bases in this comprehensive framework and provide the (nontrivial) extensions of the corresponding characterizations of those types of bases. As a by-product of our work, new properties arise, and the relations amongst them are carefully discussed.
Keywords
Cite
@article{arxiv.1903.11651,
title = {Greedy approximation for biorthogonal systems in quasi-Banach spaces},
author = {Fernando Albiac and Jose L. Ansorena and Pablo M. Berna and Przemyslaw Wojtaszczyk},
journal= {arXiv preprint arXiv:1903.11651},
year = {2019}
}