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arXiv · 1903.11651

Greedy approximation for biorthogonal systems in quasi-Banach spaces

Fernando Albiac·Jose L. Ansorena·Pablo M. Berna·Przemyslaw Wojtaszczyk
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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.

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Fernando Albiac, Jose L. Ansorena, Pablo M. Berna, Przemyslaw Wojtaszczyk. 2019-03-27. Greedy approximation for biorthogonal systems in quasi-Banach spaces. https://arxiv.org/abs/1903.11651

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