Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1305

 Title: Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities Authors: I. Gil’, Michael Keywords: Linear OperatorFractional PowersMoment InequalityDissipative OperatorCompact Hermitian ComponentCompact Inverse47A5647A5747A63 Issue Date: 2009 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 12, No 1, (2009), 57p-69p Abstract: We derive bounds for the norms of the fractional powers of operators with compact Hermitian components, and operators having compact inverses in a separable Hilbert space. Moreover, for these operators, as well as for dissipative operators, the constants in the moment inequalities are established. Description: Mathematics Subject Classification: 47A56, 47A57,47A63 URI: http://hdl.handle.net/10525/1305 ISSN: 1311-0454 Appears in Collections: 2009

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