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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Zh. Mat. Fiz. Anal. Geom., 2011 Volume 7, Number 1, Pages 87–95 (Mi jmag167)

This article is cited in 3 papers

L- and M-structure in lush spaces

E. Pipping

Fachbereich Mathematik und Informatik, Freie Universität Berlin, 10115, Berlin, Germany

Abstract: Let $X$ be a Banach space which is lush. It is shown that if a subspace of $X$ is either an L-summand or an M-ideal then it is also lush.

Key words and phrases: lushness, M-summand, M-ideal, L-summand.

MSC: 46B20

Received: 09.09.2010

Language: English



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