Listar por tema "Superreflexivity"
Mostrando ítems 1-2 de 2
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Conditional quasi-greedy bases in non-superreflexive Banach spaces
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 ... -
Non-superreflexivity of Garling sequence spaces and applications to the existence of special types of conditional bases
We settle in the negative the problem of the superreflexivity of Garling sequence spaces by showing that they contain a complemented subspace isomorphic to a non-superreflexive mixed-norm sequence space. As a by-product, ...