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On super-recurrence of strongly continuous semigroup
Advances in Operator Theory, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amouch, Mohamed, Hassani, Halima
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On the perturbation theory for strongly continuous semigroups
Mathematische Annalen, 1977 The main purpose of this note is to prove Miyadera's theorem on perturbations of semigroup generators (Miyadera [4]; see Remark 2, c) below) under reduced assumptions. In our proof we obtain the perturbed semigroup by an iteration similar to the iteration used in the proof for bounded perturbations.
Jürgen Voigt
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Strongly Continuous Semigroups
1990This chapter contains a short introduction to the theory of strongly continuous semigroups.
Israel Gohberg +2 more
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Strongly continuous dual semigroups
Annali di Matematica Pura ed Applicata, 1996The authors restrict the adjoint \(A'\) of a generator A of a strongly continuous semigroup on a Banach space \(X\) to certain closed subspaces E of \(F'\) and show, under appropriate conditions, that this restriction is a generator. The main part of the paper consists of applications to elliptic operators with boundary conditions.
Amann, Herbert, Escher, Joachim
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C-semigroups and strongly continuous semigroups
Israel Journal of Mathematics, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Polynomially Compact-Like Strongly Continuous Semigroups
Acta Applicandae Mathematica, 2004Several 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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$$\Gamma $$-Supercyclicity for Strongly Continuous Semigroups
Complex Analysis and Operator Theory, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Strongly Continuous Semigroups and Stochastic Representation
Journal of the London Mathematical Society, 2002Second‐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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Strongly Continuous Semigroups
1998This 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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