47 citations · 123 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
Optimal Stable Nonlinear Approximation
Albert Cohen, Ronald DeVore, Guergana Petrova +1
While it is well known that nonlinear methods of approximation can often perform dramatically better than linear methods, there are still questions on how to measure the optimal pe…
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…