Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces

Given a Banach space X, in [1] the authors introduce a large class of Banach or quasi-Banach spaces formed by X-valued sequences, called invariant sequences spaces, which

Na prevenção do cancro do colo do útero podem ser utilizadas estratégias de prevenção primária, através da vacinação e estratégias de prevenção

Uniform classification of classical Banach spaces.. B¨

We define an ergodic Banach space X as a space such that E 0 Borel reduces to isomorphism on the set of subspaces of X, and show that every Banach space is either ergodic or contains

Gowers therefore produced a list of four inevitable classes of Banach spaces, corresponding to classical examples, or more recent couterexamples to classical questions: HI spaces,

The same is shown to hold for: (1) complete separable metric spaces up to uniform homeomorphism, (2) separable Banach spaces up to Lipschitz isomorphism and (3) up to

Isomorphism of Banach spaces, Complexity of analytic equivalence relations, Minimal Banach spaces, Spreading models..

In the context of Banach spaces, an analogue of Paroviˇ cenko’s theorem has been established by Kubi´ s [11]: Under CH, there exists a unique Banach space X of density c with