Browsing by Subject "Thresholding greedy algorithm"

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Conditional quasi-greedy bases in non-superreflexive Banach spaces

Albiac Alesanco, Fernando José ; Ansorena, José L.; Wojtaszczyk, Przemyslaw (Springer, 2019) Artículo / Artikulua

For a conditional quasi-greedy basis B in a Banach space, the associated conditionality constants km[B] verify the estimate km[B]=O(logm). Answering a question raised by Temlyakov, Yang, and Ye, several authors have studied ...
Unconditional and quasi-greedy bases in L-p with applications to Jacobi polynomials Fourier series

Albiac Alesanco, Fernando José ; Ansorena, José L.; Ciaurri, Óscar; Varona, Juan L. (European Mathematical Society, 2019) Artículo / Artikulua

We show that the decreasing rearrangement of the Fourier series with respect to the Jacobi polynomials for functions in L-p does not converge unless p = 2. As a by-product of our work on quasi-greedy bases in L-p(µ), we ...