Georgian Mathematical Journal 13 (2006), No. 3, 501--514
Copyright Heldermann Verlag 2006
On Non-Compact Operators in Weighted Ideal and Symmetric Function Spaces
Giorgi Oniani
A. Tsereteli University, 59 Tamar Mepe Street, Kutaisi 4600, Georgia
tava73@mail.ru
A resonance type theorem is proved, where conditions are given, which imply the non-compactness and a certain estimation of the measure of the non-compactness of operators in weighted ideal and symmetric function spaces. The application of the theorem to some concrete classes of operators is discussed.
Keywords: Operator, weighted spaces, compactness.
MSC: 42B25, 46E30, 28A15
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