Browsing by Author "Dilworth, S. J."
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Building highly conditional almost greedy and quasi-greedy bases in Banach spaces
Albiac Alesanco, Fernando José; Ansorena, José L.; Dilworth, S. J.; Kutzarova, Denka (Elsevier, 2019) Artículo / Artikulua
It is known that for a conditional quasi-greedy basis B in a Banach space X, the associated sequence (k(m)[B](m=1)(infinity) of its conditionality constants verifies the estimate k(m)[B] = O(log m) and that if the reverse ... -
Non-superreflexivity of Garling sequence spaces and applications to the existence of special types of conditional bases
Albiac Alesanco, Fernando José; Ansorena, José L.; Dilworth, S. J.; Kutzarova, Denka (Instytut Matematyczny, 2020) Artículo / Artikulua
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, ...