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Currently displaying 1 – 4 of 4

Order by Relevance | Title | Year of publication

Spectral inclusions and stability results for strongly continuous semigroups.

Elkoutri, Abdelkader; Taoudi, Mohamed Aziz — 2003

International Journal of Mathematics and Mathematical Sciences

Browder-Krasnoselskii-type fixed point theorems in Banach spaces.

Agarwal, Ravi P.; O'Regan, Donal; Taoudi, Mohamed-Aziz — 2010

Fixed Point Theory and Applications [electronic only]

Fixed point theorems for ws-compact mappings in Banach spaces.

Agarwal, Ravi P.; O'Regan, Donal; Taoudi, Mohamed-Aziz — 2010

Fixed Point Theory and Applications [electronic only]

A characterization of polynomially Riesz strongly continuous semigroups

Khalid Latrach; Martin J. Paoli; Mohamed Aziz Taoudi — 2006

Commentationes Mathematicae Universitatis Carolinae

In this paper we characterize the class of polynomially Riesz strongly continuous semigroups on a Banach space $X$ . Our main results assert, in particular, that the generators of such semigroups are either polynomially Riesz (then bounded) or there exist two closed infinite dimensional invariant subspaces $X_{0}$ and $X_{1}$ of $X$ with $X = X_{0} \oplus X_{1}$ such that the part of the generator in $X_{0}$ is unbounded with resolvent of Riesz type while its part in $X_{1}$ is a polynomially Riesz operator.

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