This article is cited in 5 papers

Geometric description of $L_1$-spaces

M. M. Ibragimov, K. K. Kudaibergenov

Chair of Functional Analysis, Karakalpakiya State University, 1 Akad. Ch. Abdirov str., Nukus, 230113 Republic of Uzbekistan

Abstract: We describe strongly facially symmetric spaces which are isometrically isomorphic to $L_1$-space.

Keywords: face, Boolean algebra, facially symmetric space.

UDC: 598.17

Received: 27.04.2012

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:9, 16–21

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