Some Compactness Results in Real Interpolation for Families of Banach Spaces | Zendy

Carro María J. | Zendy; Peetre Jaak | Zendy

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Some Compactness Results in Real Interpolation for Families of Banach Spaces

Author(s) -

Carro María J.,

Peetre Jaak

Publication year - 1998

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610796006515

Subject(s) - mathematics , compact space , banach space , pure mathematics , functor , interpolation (computer graphics) , interpolation space , compact operator , discrete mathematics , functional analysis , image (mathematics) , extension (predicate logic) , computer science , biochemistry , chemistry , artificial intelligence , gene , programming language

The paper shows that, if the operator T : A (γ)→ B (γ) is compact for almost every γ∈Γ, then T : F ( A ¯ ) → F ( B ¯ )is compact when F ( X ¯ ) =( X ) K Sor F ( X ¯ ) =( X ) J Sis the interpolation functor constructed for infinite families of Banach spaces and S satisfies certain conditions.

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