A note automorphisms of semigroups and near-rings of mappings
A note on a formula for the fractional powers of infinitesimal generators of semigroups
If -A is the generator of an equibounded -semigroup and 0 < Re α < m (m integer), its fractional power can be described in terms of the semigroup, through a formula that is only valid if a certain function is nonzero. This paper is devoted to the study of the zeros of .
A note on a local ergodic theorem
A note on almost periodic solutions of semilinear equations in Banach spaces.
A note on convergence of semigroups
Convergence of semigroups which do not converge in the Trotter-Kato-Neveu sense is considered.
A note on Howe's oscillator semigroup
Analytic extensions of the metaplectic representation by integral operators of Gaussian type have been calculated in the and the Bargmann-Fock realisations by Howe [How2] and Brunet-Kramer [Brunet-Kramer, Reports on Math. Phys., 17 (1980), 205-215]], respectively. In this paper we show that the resulting semigroups of operators are isomorphic and calculate the intertwining operator.
A note on maximal estimates for stochastic convolutions
In stochastic partial differential equations it is important to have pathwise regularity properties of stochastic convolutions. In this note we present a new sufficient condition for the pathwise continuity of stochastic convolutions in Banach spaces.
A note on operator convergence for semigroups
A note on probabilistic representations of operator semigroups.
A note on stability for linear partial differential equations
A note on stability properties of integrated semigroups
A note on the abstract Cauchy problem.
A note on the comparison of C0-semigroups.
A note on the growth bound of Co-semigroups.
A note on the parabolic differential and difference equations.
A Note on the Product of Random Elements of a Semigroup.
A note on the spectral operators of scalar type and semigroups of bounded linear operators.
A notion of analytic generator for groups of unbounded operators
We introduce a notion of analytic generator for groups of unbounded operators, on Banach modules, arising from Esterle’s quasimultiplier theory. Characterizations of analytic generators are given in terms of the existence of certain functional calculi. This extends recent results about C₀ groups of bounded operators. The theory is applicable to sectorial operators, representations of , and integrated groups.
A parabolic - elliptic variational inequality.
A perturbation theorem for semigroups of linear operators