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


Autoria(s): I. Gil’, Michael
Data(s)

29/08/2010

29/08/2010

2009

Resumo

Mathematics Subject Classification: 47A56, 47A57,47A63

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.

* This research was supported by the Kamea Fund of Israel.

Identificador

Fractional Calculus and Applied Analysis, Vol. 12, No 1, (2009), 57p-69p

1311-0454

http://hdl.handle.net/10525/1305

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Linear Operator #Fractional Powers #Moment Inequality #Dissipative Operator #Compact Hermitian Component #Compact Inverse #47A56 #47A57 #47A63
Tipo

Article