On Interpolation Spaces with the Gelfand‐Phillips Property | Zendy

Mastylo Mieczyslaw | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

On Interpolation Spaces with the Gelfand‐Phillips Property

Author(s) -

Mastylo Mieczyslaw

Publication year - 1988

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19881370104

Subject(s) - mathematics , interpolation (computer graphics) , interpolation space , banach space , pure mathematics , property (philosophy) , functor , dual (grammatical number) , compact open topology , algebra over a field , functional analysis , computer science , animation , art , biochemistry , chemistry , philosophy , computer graphics (images) , literature , epistemology , gene

In this paper we study interpolation spaces generated by some interpolation functors. We show that under some conditions for Banach couples X and Y the spaces dual to the orbits of elements are Gelfand—Philips spaces. Consequently, the ideal of nuclear operators from X to Y contains a copy of l 1 . We give also an interpolation theorem for limited operators.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research