26 citations · 79 across the 54 of their papers we have counts for
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The structure of greedy-type bases in Tsirelson's space and its convexifications
Fernando Albiac, José L. Ansorena
Tsirelson's space made its appearance in Banach space theory in 1974 soon to become one of the most significant counterexamples in the theory. Its structure broke the…
Elton's near unconditionality of bases as a threshold-free form of greediness
Fernando Albiac, José L. Ansorena, Miguel Berasategui
Elton's near unconditionality and quasi-greediness for largest coefficients are two properties of bases that made their appearance in functional analysis from very different areas…
Existence of almost greedy bases in mixed-norm sequence and matrix spaces, including Besov spaces
Fernando Albiac, José L. Ansorena, Glenier Bello +1
We prove that the sequence spaces and the spaces of infinite matrices , and , whic…
Democracy of quasi-greedy bases in -Banach spaces with applications to the efficiency of the TGA in the Hardy spaces
Fernando Albiac, José L. Ansorena, Glenier Bello
We use new methods, specific of non-locally convex quasi-Banach spaces, to investigate when the quasi-greedy bases of a -Banach space for are democratic. The novel techn…
Sparse approximation using new greedy-like bases in superreflexive spaces
Fernando Albiac, Jose L. Ansorena, Miguel Berasategui
This paper is devoted to theoretical aspects on optimality of sparse approximation. We undertake a quantitative study of new types of greedy-like bases that have recently arisen in…