Non-superreflexivity of Garling sequence spaces and applications to the existence of special types of conditional bases
Date
2020
Authors
Director
Publisher
Instytut Matematyczny
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa
Project identifier
- ES/1PE/MTM2016-76808-P/
Impacto
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.
Description
Keywords
Subsymmetric basis, Garling sequence spaces, Superreflexivity, Besov spaces, Conditional bases, Conditionality constants, Almost greedy bases
Department
Estatistika, Informatika eta Matematika / Institute for Advanced Materials and Mathematics - INAMAT2 / Estadística, Informática y Matemáticas
Faculty/School
Degree
Doctorate program
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