Embeddings. Minimality and separability. Property

Ben Zion A. Rubshtein, Genady Ya Grabarnik, Mustafa A. Muratov, Yulia S. Pashkova

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this chapter we study minimal and separable symmetric spaces. The minimal part X0 of a symmetric space X is the closure of L1 ∩ L in X, and X is minimal if X0 = X. We show that every separable symmetric space is minimal, and the converse is true under the additional condition φX(0+)= 0. We consider also an important property (A), which is equivalent to separability.

Original languageEnglish
Title of host publicationDevelopments in Mathematics
PublisherSpringer New York LLC
Pages71-81
Number of pages11
DOIs
StatePublished - 1 Jan 2016

Publication series

NameDevelopments in Mathematics
Volume45
ISSN (Print)1389-2177

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