Banach spaces of universal disposition
作者： Antonio Avilés , Félix Cabello Sánchez , Jesús M.F. Castillo , Manuel González , Yolanda Moreno
DOI: 10.1016/J.JFA.2011.06.011
关键词: Lp space 、 Banach manifold 、 Eberlein–Šmulian theorem 、 Discrete mathematics 、 Banach space 、 Uniformly convex space 、 Reflexive space 、 Interpolation space 、 Birnbaum–Orlicz space 、 Pure mathematics 、 Mathematics
摘要: In this paper we present a method to obtain Banach spaces of universal and almost-universal disposition with respect given class M normed spaces. The produces, among others, the only separable space F finite-dimensional (Gurariĭ G); or only, under CH, density character continuum which is S (Kubis K). We moreover show that K isomorphic an ultrapower Gurariĭ it not complemented subspace any C(K)-space. Other properties are also studied: injectivity, partially automorphic uniqueness.
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