Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities

I. Gil’, Michael. "Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities." Fractional Calculus and Applied Analysis 12.1 (2009): 57-69. <http://eudml.org/doc/11316>.

@article{I2009,
abstract = {Mathematics Subject Classification: 47A56, 47A57,47A63We 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.* This research was supported by the Kamea Fund of Israel.},
author = {I. Gil’, Michael},
journal = {Fractional Calculus and Applied Analysis},
keywords = {47A56; 47A57; 47A63},
language = {eng},
number = {1},
pages = {57-69},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities},
url = {http://eudml.org/doc/11316},
volume = {12},
year = {2009},
}

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
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 12
IS - 1
SP - 57
EP - 69
AB - Mathematics Subject Classification: 47A56, 47A57,47A63We 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.* This research was supported by the Kamea Fund of Israel.
LA - eng
KW - 47A56; 47A57; 47A63
UR - http://eudml.org/doc/11316
ER -