Results 51 to 60 of about 173 (138)

Time operators for one parameter semigroups

, 2003
We develop two simple approaches to the construction of time operators for semigroups of continuous linear operators in Hilbert spaces provided that the generators of these semigroups are normal operators.
Shkarin, Stanislav
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Bernstein-type operators on the half line [PDF]

, 2002
summary:We define Bernstein-type operators on the half line $\mathopen [0,+\infty \mathclose [$ by means of two sequences of strictly positive real numbers.
ATTALIENTI A, Campiti, Michele, Attalienti, Antonio, M. CAMPITI   +3 more
core   +1 more source

Isolated points of some sets of bounded cosine families, bounded semigroups, and bounded groups on a Banach space

, 2013
We show that if the set of all bounded strongly continuous cosine families on a Banach space X is treated as a metric space under the metric of the uniform convergence associated with the operator norm on the space L(X) of all bounded linear operators on
Chojnacki, W., Bobrowski, A.
core   +1 more source

Growth orders of Cesàro and Abel means of uniformly continuous operator semi-groups and cosine functions [PDF]

, 2010
summary:It will be proved that if $N$ is a bounded nilpotent operator on a Banach space $X$ of order $k+1$, where $k\geq 1$ is an integer, then the $\gamma$-th order Cesàro mean $C_{t}^{\gamma}:=\gamma t^{-\gamma}\int_{0}^{t}(t-s)^{\gamma-1}T(s)\,ds$ and
Sato, R., Li, Y.C., Sato, Ryotaro, Shaw, S.Y.   +3 more
core   +1 more source

Almost automorphic groups and semigroups

, 2000
In this paper we establish that a strongly continuous group of bounded linear operators on a Banach space is weakly almost periodic if and only if it is weakly almost automorphic.
Casarino, Valentina
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A characterization of polynomially Riesz strongly continuous semigroups [PDF]

, 2006
summary: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 ...
Paoli, J. Martin, Latrach, Khalid, Taoudi, M. A.   +2 more
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Multiscale Geometric Integration of Deterministic and Stochastic Systems [PDF]

, 2011
In order to accelerate computations and improve long time accuracy of numerical simulations, this thesis develops multiscale geometric integrators. For general multiscale stiff ODEs, SDEs, and PDEs, FLow AVeraging integratORs (FLAVORs) have been ...
Tao, Molei
core   +1 more source

Ergodic properties of contraction semigroups in $L_p$, $1 [PDF]

, 1994
summary:Let $\{T(t):t>0\}$ be a strongly continuous semigroup of linear contractions in $L_p$, $10$ a positive linear contraction $P(t)$ in $L_p$ such that $|T(t)f|\leq P(t)|f|$ for all $f\in L_p$, then there exists a strongly continuous semigroup $\{S(t)
Sato, Ryotaro
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Boundary value problems for semilinear evolution equations of compact type

, 1982
Bibliography: p.
Sager, Herbert Casper
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Topological semigroups of cone-preserving operators on Hilbert space

, 1974
This dissertation is concerned with a study of topological semigroups of operators which preserve the non-negative cone in an infinite dimensional real Hilbert space; in the sequel, such operators will be called cone-preserving.
Smiley, William Gilmore
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