Narrow Operators on Function Spaces and Vector Lattices

Inbunden, Engelska, 2012

Del 45 i serien De Gruyter Studies in Mathematics

2 441 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

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.

Produktinformation

Utgivningsdatum:2012-11-15
Mått:170 x 240 x 29 mm
Vikt:694 g
Format:Inbunden
Språk:Engelska
Serie:De Gruyter Studies in Mathematics
Antal sidor:332
Upplaga:12001
Förlag:De Gruyter
ISBN:9783110263039

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Mikhail Popov, Chernivtsi National University, Ukraine; Miami University, Oxford, USA; Beata Randrianantoanina, Miami University, Oxford, USA.

Innehållsförteckning

Chapter 1. PreliminariesChapter 2. Each small operator is narrowChapter 3. Applications to the geometry of Lp spaces for 0 < p < 1 5Chapter 4. A very non-compact narrow operatorChapter 5. Some deep results on narrow operatorsChapter 6. Weak embeddings of L1Chapter 7. For what spaces X every operator T 2 L(Lp;X) is narrow?Chapter 8. Ideal properties of narrow operatorsChapter 9. Daugavet type properties of Lorentz spaces withChapter 10. Narrow operators on vector latticesChapter 11. Some generalizations of narrow operatorsBibliography

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Narrow Operators on Function Spaces and Vector Lattices

AvMikhail Popov,Beata Randrianantoanina

Inbunden, Engelska, 2012

Del 45 i serien De Gruyter Studies in Mathematics

2 441 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:2012-11-15
Mått:170 x 240 x 29 mm
Vikt:694 g
Format:Inbunden
Språk:Engelska
Serie:De Gruyter Studies in Mathematics
Antal sidor:332
Upplaga:12001
Förlag:De Gruyter
ISBN:9783110263039

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Mikhail Popov, Chernivtsi National University, Ukraine; Miami University, Oxford, USA; Beata Randrianantoanina, Miami University, Oxford, USA.

Innehållsförteckning

Chapter 1. PreliminariesChapter 2. Each small operator is narrowChapter 3. Applications to the geometry of Lp spaces for 0 < p < 1 5Chapter 4. A very non-compact narrow operatorChapter 5. Some deep results on narrow operatorsChapter 6. Weak embeddings of L1Chapter 7. For what spaces X every operator T 2 L(Lp;X) is narrow?Chapter 8. Ideal properties of narrow operatorsChapter 9. Daugavet type properties of Lorentz spaces withChapter 10. Narrow operators on vector latticesChapter 11. Some generalizations of narrow operatorsBibliography