Titlebook: Separably Injective Banach Spaces; Antonio Avilés,Félix Cabello Sánchez,Yolanda‘Moren Book 2016 Springer International Publishing Switzerl

一起平行

Fibrin

Antonio Avilés,Félix Cabello Sánchez,Yolanda‘MorenThis is the first book dedicated to the subject.Most of the material has never appeared in book form before (and all references to external results have been restricted to material which can be found

阐明

肌肉

Reclaim

Separably Injective Banach Spaces,xplain why. Indeed, we will enter now in the main topic of the monograph, namely, separably injective spaces and their “universal” version. After giving the main definitions and taking a look at the first natural examples one encounters, we present the basic characterizations and a number of structu

Mnemonics

Spaces of Universal Disposition,Gurariy, who constructed the (unique, up to isometries) separable Banach space of almost universal disposition for finite dimensional spaces in [.]. Spaces of universal disposition for separable Banach spaces are interesting for us because they are 1-separably injective (Theorem .). More yet, the on

Albumin

Ultraproducts of Type ,,aproducts of Banach spaces, even at a very elementary level, proved very useful in local theory, the study of Banach lattices, and also in several nonlinear problems, such as the uniform and Lipschitz classification of Banach spaces. We refer the reader to Heinrich’s survey paper [.] and Sims’ notes

数量

Water-Brash

连锁

,-Injectivity, Chapter we consider the notions of (universal) .-injectivity obtained by allowing domain or ranges of operators to have larger density characters. As we shall see, some results easily generalize to the higher cardinal context, some present many difficulties, and some are simply impossible. And, of course, cardinal assumptions are necessary.