1 citations · 3 across the 11 of their papers we have counts for
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On the entropy numbers and the Kolmogorov widths
Guergana Petrova, Przemyslaw Wojtaszczyk
Direct estimates between linear or nonlinear Kolmogorov widths and entropy numbers are presented. These estimates are derived using the recently introduced Lipschitz widths. Applic…
Lorentz spaces and embeddings induced by almost greedy bases in superreflexive Banach spaces
José L. Ansorena, Glenier Bello, Przemysław Wojtaszczyk
The aim of this paper is to show that almost greedy bases induce tighter embeddings in superreflexive Banach spaces than in general Banach spaces. More specifically, we show that a…
Uniqueness of unconditional basis of and for
Fernando Albiac, Jose L. Ansorena, Przemyslaw Wojtaszczyk
Our goal in this paper is to advance the state of the art of the topic of uniqueness of unconditional basis. To that end we establish general conditions on a pair $(\mathbb{X}, \ma…
Quasi-greedy bases in the spaces () are democratic
Fernando Albiac, Jose L. Ansorena, Przemyslaw Wojtaszczyk
The list of known Banach spaces whose linear geometry determines the (nonlinear) democracy functions of their quasi-greedy bases to the extent that they end up being democratic, re…
On a 'philosophical' question about Banach envelopes
Fernando Albiac, Jose L. Ansorena, Przemyslaw Wojtaszczyk
We show how to construct nonlocally convex quasi-Banach spaces whose dual separates the points of a dense subspace of but does not separate the points of . Our examples…
On certain subspaces of for and their applications to conditional quasi-greedy bases in -Banach spaces
Fernando Albiac, José L. Ansorena, Przemysław Wojtaszczyk
We construct for each an infinite collection of subspaces of that extend the example from [J. Lindenstrauss, On a certain subspace of , Bull. Acad. Po…