L- and M-structure in lush spaces

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.

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Bibliographic Details
Published in:Журнал математической физики, анализа, геометрии
Date:2011
Main Author: Pipping, E.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2011
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/106665
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:L- and M-structure in lush spaces / E. Pipping // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 1. — С. 87-95. — Бібліогр.: 17 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.
ISSN:1812-9471