Giorgi Oniani

On Non-Compact Operators in Weighted Ideal and Symmetric Function Spaces

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.

Operator, weighted spaces, compactness.

MSC 2000: 42B25, 46E30, 28A15