Linear Operator Fractional Powers Moment Inequality Dissipative Operator Compact Hermitian Component Compact Inverse 47A56 47A57 47A63
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 12, No 1, (2009), 57p-69p
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.