Narrow Operators on Function Spaces and Vector Lattices is popular PDF and ePub book, written by Mikhail Popov in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Narrow Operators on Function Spaces and Vector Lattices can be Read Online from any device for your convenience.
Narrow Operators on Function Spaces and Vector Lattices Book PDF Summary
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. 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.
Detail Book of Narrow Operators on Function Spaces and Vector Lattices PDF
- Author : Mikhail Popov
- Release : 06 December 2012
- Publisher : Walter de Gruyter
- ISBN : 9783110263343
- Genre : Mathematics
- Total Page : 336 pages
- Language : English
- PDF File Size : 21,8 Mb
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