Shakhmurov, Veli B.2024-07-122024-07-122009Shakhmurov, Veli B. (2009). Some spectral propersties of linear operators in umd spaces and applications. Maltepe Üniversitesi. s. 378.9.78605E+12https://hdl.handle.net/20.500.12415/2483In this paper the general spectral properties of linear operators in Banach spaces are studied. We find sufficient conditions on structure of Banach spaces and resolvent properties that guarantee completeness of roots elements of Schatten class operators. It is generalizes the well known result for linear operators in Hilbert spaces (see [1])enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessUniformly convex Banach spacesAbstract functionsSchatten class of operatorsCompleteness of root elementsSeparable boundary value problemsDifferential-operator equationsSome spectral propersties of linear operators in umd spaces and applicationsConference Object379378