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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Narrow Operators on Function Spaces and Vector Lattices

Narrow Operators on Function Spaces and Vector Lattices

Popov, Mikhail
Randrianantoanina, Beata

Hardcover

Series: de Gruyter Studies in Mathematics, Book 45

General Mathematics

Currently unavailable to order

ISBN10: 3110263033
ISBN13: 9783110263039
Publisher: De Gruyter
Published: Nov 15 2012
Pages: 332
Weight: 1.62
Height: 0.75 Width: 6.69 Depth: 9.61
Language: English

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.

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