Results 31 to 40 of about 73 (67)

A family of commuting contraction semigroups on l1(N){l}^{1}\left({\mathbb{N}}) and l∞(N){l}^{\infty }\left({\mathbb{N}})

open access: yesOpen Mathematics
A family of commuting contraction semigroups (Pn(t))n∈N{\left({P}_{n}\left(t))}_{n\in {\mathbb{N}}}, defined on l1(N){l}^{1}\left({\mathbb{N}}), is presented. For this family, the product semigroup ∏n=1∞Pn(t){\prod }_{n=1}^{\infty }{P}_{n}\left(t) exists
Nieznaj Ernest
doaj   +1 more source

On a Product Formula for Unitary Groups [PDF]

open access: yes, 2017
For any nonnegative self-adjoint operators A and B in a separable Hilbert space, the Trotter-type formula [(ei2tA/n+ei2tB/n)/2]n is shown to converge strongly in the norm closure of dom (A1/2) ∩ dom (B1/2 for some subsequence and for almost every t ∈ R ...
Cachia, V.
core  

On existence of subspace codiskcyclicity for C 0-semigroups

open access: yesConcrete Operators
This study explores the concept of subspace codiskcyclicity within the framework of C 0-semigroups, introducing it as a natural generalization of subspace-diskcyclicity.
Slaa Peter Masong   +2 more
doaj   +1 more source

© Hindawi Publishing Corp. SPECTRAL INCLUSIONS AND STABILITY RESULTS FOR STRONGLY CONTINUOUS SEMIGROUPS

open access: yes, 2002
We prove some spectral inclusions for strongly continuous semigroups. Some sta-bility results are also established. 2000 Mathematics Subject Classification: 47D03, 47A10. 1. Introduction and preliminaries.
Abdelkader Elkoutri, Mohamed Aziz Taoudi
core  

A Lower Bound for the Differences of Powers of Linear Operators

open access: yes, 2008
Let T be a bounded linear operator in a Banach space, with σ(T) = {1}. In 1983, Esterle–Berkani ’ s conjecture was proposed for the decay of differences (I − T) T n as follows: Either lim infn→ ∞ (n + 1) (I − T) T n ≥ 1/e or T = I.
V. Turunen   +3 more
core  

On the unboundedness of control operators for bilinear systems

open access: yes, 2003
The aim of this work is to study the classes of unbounded linear control operators which ensure the existence and uniqueness of the mild and strong solutions of certain bilinear control systems.
Idrissi, Abdelalli
core  

A Remark on C -Dynamical Systems in Hilbert C -modules

open access: yes, 2007
In this paper we consider C 0 -group of unitary operators on a Hilbert C -module E. In particular we show that if A ⊆ L(E) is a C -algebra including K(E) and there is x ∈ E with < x, x >= 1 and if α t is a C -dynamics on A with generator δ and θ x ...
Hassani@mshdiau Ac Ir   +2 more
core  

© Hindawi Publishing Corp. REMARKS ON EMBEDDABLE SEMIGROUPS IN GROUPS AND A GENERALIZATION OF SOME CUTHBERT’S RESULTS

open access: yes, 2001
Let (U(t))t≥0 be a C0-semigroup of bounded linear operators on a Banach space X. In this paper, we establish that if, for some t0> 0, U(t0) is a Fredholm (resp., semi-Fredholm) operator, then (U(t))t≥0 is a Fredholm (resp., semi-Fredholm) semi-group ...
Khalid Latrach, Abdelkader Dehici
core  

Mathematics Subject Classification: Primary 43A07, 43A60, 46L89, 47D03; Secondary 22D25

open access: yes, 2010
We propose a definition of a "C * -Eberlein" algebra, which is a weak form of a C * -bialgebra with a sort of "unitary generator".
Matthew Daws, Biswarup Das
core  

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