Linear Operator Fractional Powers Moment Inequality Dissipative Operator Compact Hermitian Component Compact Inverse 47A56 47A57 47A63
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.
