Maximality. Properties (B) and (C)

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

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

1 Scopus citations

Abstract

In this chapter, we study the second associate space X11 of a symmetric space X. To describe properties of the natural embedding X ⊆ X11, we two consider important properties (B) and (C) of the space X. We show that X has property (C) if and only if the natural embedding X ⟶ X11 is isometric. If in addition to (C), X has property (B), then X = X11, i.e., the symmetric space X is maximal, and the natural embedding X ⟶ X11 is an isometric isomorphism between X and X11.

Original languageEnglish
Title of host publicationDevelopments in Mathematics
PublisherSpringer New York LLC
Pages95-110
Number of pages16
DOIs
StatePublished - 1 Jan 2016

Publication series

NameDevelopments in Mathematics
Volume45
ISSN (Print)1389-2177

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