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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.