Fernando Albiac, Jose L. Ansorena, Stephen J. Dilworth, Denka Kutzarova
Published 2018-09-09Version 1
In this paper 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 of our work, we give applications of this result to the study of conditional Schauder bases and conditional almost greedy bases in this new class of Banach spaces.
On ideals of polynomials and their applications
A T(1)-Theorem in relation to a semigroup of operators and applications to new paraproducts
On wide-$(s)$ sequences and their applications to certain classes of operators
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