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Narrow Operators On Function Spaces And Vector Lattices

ISBN 9783110263343
REGISTERED: 01/17/18
UPDATED: 02/20/20
Narrow Operators On Function Spaces And Vector Lattices

Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition

  • Narrow Operators On Function Spaces And Vector Lattices available on March 22 2017 from VitalSource for Https://" itemprop="offers" target="_external" title="" itemscope itemtype="">89.99
  • ISBN bar code 9783110263343 ξ1 registered May 24 2016
  • Product category is Book

  • # 9783110263343

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. 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 related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems.

    ^ Narrow Operators On Function Spaces And Vector Lattices VitalSource. (revised Mar 2017)

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