Non-superreflexivity of Garling sequence spaces and applications to the existence of special types of conditional bases

Fernando Albiac, José Luis Ansorena, Stephen J. Dilworth, Denka Kutzarova

Research output: Contribution to journalArticle

Abstract

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, we give applications to the study of conditional Schauder bases and conditional almost greedy bases in this new class of Banach spaces.
Original languageEnglish (US)
Pages (from-to)277-288
Number of pages12
JournalStudia Mathematica
Volume251
Issue number3
DOIs
StatePublished - 2020

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