Name: Narrow Operators on Function Spaces and Vector Lattices (en Inglés)
Price: 183.78 USD
Availability: InStock
Author: Popov, Mikhail ; Randrianantoanina, Beata
ISBN: 9783110263039

portada Narrow Operators on Function Spaces and Vector Lattices (en Inglés)

Narrow Operators on Function Spaces and Vector Lattices (en Inglés)

Formato

Libro Físico

Autor

Mikhail Popov

Beata Randrianantoanina

Editorial

de Gruyter

Año

2012

Idioma

Inglés

N° páginas

332

Encuadernación

Tapa Dura

Dimensiones

24.4 x 17.0 x 1.9 cm

Peso

0.73 kg.

ISBN

3110263033

ISBN13

9783110263039

Categorías

Análisis funcional y transformaciones

Narrow Operators on Function Spaces and Vector Lattices (en Inglés)

Mikhail Popov (Autor) · Beata Randrianantoanina (Autor) · de Gruyter · Tapa Dura

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Reseña del libro "Narrow Operators on Function Spaces and Vector Lattices (en Inglés)"

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.