Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities
Fractional calculus and applied analysis, Tome 12 (2009) no. 1, pp. 57-69
Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library
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.
Keywords:
Linear Operator, Fractional Powers, Moment Inequality, Dissipative Operator, Compact Hermitian Component, Compact Inverse, 47A56, 47A57, 47A63
@article{FCAA_2009_12_1_a4,
author = {I. Gil{\textquoteright}, Michael},
title = {Bounds for {Fractional} {Powers} of {Operators} in a {Hilbert} {Space} and {Constants} in {Moment} {Inequalities}},
journal = {Fractional calculus and applied analysis},
pages = {57--69},
publisher = {mathdoc},
volume = {12},
number = {1},
year = {2009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/FCAA_2009_12_1_a4/}
}
TY - JOUR AU - I. Gil’, Michael TI - Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities JO - Fractional calculus and applied analysis PY - 2009 SP - 57 EP - 69 VL - 12 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FCAA_2009_12_1_a4/ LA - en ID - FCAA_2009_12_1_a4 ER -
%0 Journal Article %A I. Gil’, Michael %T Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities %J Fractional calculus and applied analysis %D 2009 %P 57-69 %V 12 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/FCAA_2009_12_1_a4/ %G en %F FCAA_2009_12_1_a4
I. Gil’, Michael. Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities. Fractional calculus and applied analysis, Tome 12 (2009) no. 1, pp. 57-69. http://geodesic.mathdoc.fr/item/FCAA_2009_12_1_a4/