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Narrow Operators On Function Spaces And Vector Lattices. (de Gruyter Studies In Mathematics; 45) by Mykhaĭlo Mykhaĭlovych Popov; Mikhail Popov; Beata Randrianantoanina is a nonfiction available to read on EtoBox.

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<!doctype html public "-//w3c//dtd html 4.0 transitional//en"> <html><head> <meta http-equiv=content-type content="text/html; charset=iso-8859-1"> <meta content="mshtml 6.00.6000.17112" name=generator></head> <body> <P>Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition. Narrow operators are those operators defined on function spaces that are “small” at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators.</P> <P>Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts r

Who reads Narrow Operators On Function Spaces And Vector Lattices. (de Gruyter Studies In Mathematics; 45)?

Author

Mykhaĭlo Mykhaĭlovych Popov; Mikhail Popov; Beata Randrianantoanina

Publisher

Saur, K. G., Verlag. ein Imprint der Walter de Gruyter GmbH

Published

2012

Language

EN

ISBN

9783119163798

Category

nonfiction

Subjects

Mathematics, Stem