Results 131 to 140 of about 217 (161)

Polynomially Compact-Like Strongly Continuous Semigroups

Acta Applicandae Mathematica, 2004
Several results concerning the class of semigroups of operators \((T(t))_{t\geq 0}\) on a Banach space \(X\) such that \(T(s) - I\) is compact for some \(s>0\) are known. The authors study semigroups for which there exists a (nontrivial) polynomial \(p\) such that, for some \(s>0\), \(p(T(s))\) belongs to a two-sided ideal of the algebra \(B(X ...
Latrach, Khalid, Paoli, J. Martin
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Strongly Continuous Semigroups

2007
exaly   +2 more sources

Strongly Continuous Semigroups

1990
This chapter contains a short introduction to the theory of strongly continuous semigroups.
Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek   +2 more
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Strongly Continuous Semigroups and Stochastic Representation

Journal of the London Mathematical Society, 2002
Second‐order elliptic operators realized under Dirichlet boundary conditions in bounded domains are shown to generate strongly continuous semigroups in the topology of uniform convergence. The stochastic representation and integral representation with kernel for the strongly continuous semigroups are given.
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$$\Gamma $$-Supercyclicity for Strongly Continuous Semigroups

Complex Analysis and Operator Theory, 2019
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Periodic strongly continuous semigroups

Annali di Matematica Pura ed Applicata, 1977
It is shown that three possible definitions of periodicity of a strongly continuous semigroup are equivalent. A complete characterization of periodicity is obtained in terms of the infinitesimal generator. An example is given to illustrate how the results tie in with the classical theory of periodic continuous functions.
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Demicompactness Results for Strongly Continuous Semigroups, Generators and Resolvents

Mediterranean Journal of Mathematics, 2018
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Hedi Benkhaled, Asrar Elleuch, Aref Jeribi   +2 more
exaly   +3 more sources

Strongly Continuous Semigroups

1998
This chapter is devoted to strongly continuous semigroups of operators. It is well-known that the mentioned semigroups are the basic instrument for investigation of differential equations with constant operators in Banach and Hilbert spaces. Wide classes of autonomous distributed parameter systems are governed by such equations.
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Maximal asymptotics of certain class of strongly continuous semigroups

2017 25th Mediterranean Conference on Control and Automation (MED), 2017
We consider a class of first order linear differential equations given in infinite-dimensional space. We study asymptotic behavior of individual solutions in the context of stability. In particular, we are looking for the slowest decaying solution, that is maximal asymptotic. We present some new result on nonexistence of maximal asymptotics for certain
Piotr Polak, Grigory M. Sklyar
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Operator Multipliers Generating Strongly Continuous Semigroups

Semigroup Forum, 1997
Let \(X\) be a Banach space. Given a family of (not necessarily bounded) operators on \(X\), \(\{A(s):s\in\mathbb{R}\}\). We can define an operator \(\mathcal A\) on \(C_0(\mathbb{R},X)\) by \[ ({\mathcal A})(s)= A(s)f(s)\quad\text{for}\quad f\in D({\mathcal A})\quad\text{and} \quad s\in\mathbb{R}, \] for a suitable definition of the domain \(D ...
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