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Existence of almost greedy bases in mixed-norm sequence and matrix spaces, including besov spaces
(Springer, 2023)
Artículo / Artikulua,
We prove that the sequence spaces lp ⊕ lq and the spaces of infinite matrices lp(lq ), lq l(p) and ( ∞ n=1 n lp)lq , which are isomorphic to certain Besov spaces, have an almost greedy basis whenever 0 < p < 1 < q < ∞. ...
Conditional quasi-greedy bases in non-superreflexive Banach spaces
(Springer, 2019)
info:eu-repo/semantics/article,
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 ...