[Banach] Abstract of a paper by J. L. Ansorena, F. Albiac, S. J. Dilworth and Denka Kutzarova

This is an announcement for the paper "Existence and uniqueness of greedy bases in Banach spaces" by J. L. Ansorena, F. Albiac, S. J. Dilworth and Denka Kutzarova.

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 $c_0$, $\ell_1$, and $\ell_2$) with a unique greedy basis.

Archive classification: math.FA

Mathematics Subject Classification: 46B15 (Primary) 46B45 (Secondary)

Submitted from: joseluis.ansorena@unirioja.es

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1505.08119

or

http://arXiv.org/abs/1505.08119