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Yayın Some spectral propersties of linear operators in umd spaces and applications(Maltepe Üniversitesi, 2009) Shakhmurov, Veli B.In 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])