A Perturbation Theorem for the Essential Spectral Radius of Strongly Continuous Semigroups.
A Pettis-type integral and applications to transition semigroups
Motivated by applications to transition semigroups, we introduce the notion of a norming dual pair and study a Pettis-type integral on such pairs. In particular, we establish a sufficient condition for integrability. We also introduce and study a class of semigroups on such dual pairs which are an abstract version of transition semigroups. Using our results, we give conditions ensuring that a semigroup consisting of kernel operators has a Laplace transform which also consists of kernel operators....
A probabilistic variant of Chernoff's product formula.
A property of semigroups on metric spaces.
A quantitative asymptotic theorem for contraction semigroups with countable unitary spectrum
Let T be a semigroup of linear contractions on a Banach space X, and let . Then is the annihilator of the bounded trajectories of T*. If the unitary spectrum of T is countable, then is the annihilator of the unitary eigenvectors of T*, and for each x in X.
A refinement of the Poincaré inequality for Kolmogorov operators on .
A remark on harmonic analysis of strongly almost-periodic groups of linear operators
A remark on linear operators leaving a cone invariant in a Banach space
A remark on parabolic equations.
A representation formula for strongly continuous cosine families. (Short Communication).
A representation formula for strongly continuous cosine families.
A result on two one-parameter groups of automorphisms.
A Riccati equation arising in a boundary control problem for distributed parameters
Si prova resistenza locale della soluzione di una equazione di Riccati che si incontra in un problema di controllo ottimale. In ipotesi di regolarità per il costo si prova resistenza globale. Il problema astratto considerato è il modello di alcuni problemi di controllo ottimale governati da equazioni paraboliche con controllo sulla frontiera.
A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus.
A second-order impulsive Cauchy problem.
A semigroup analogue of the Fonf-Lin-Wojtaszczyk ergodic characterization of reflexive Banach spaces with a basis
In analogy to a recent result by V. Fonf, M. Lin, and P. Wojtaszczyk, we prove the following characterizations of a Banach space X with a basis. (i) X is finite-dimensional if and only if every bounded, uniformly continuous, mean ergodic semigroup on X is uniformly mean ergodic. (ii) X is reflexive if and only if every bounded strongly continuous semigroup is mean ergodic if and only if every bounded uniformly continuous semigroup on X is mean ergodic.
A semigroup approach to the system with primary and secondary failures.
A Semigroup Structure in the Space of Liftings.
A semigroup-theoretic proof of Poisson's limit law.
A sharp result on the exponential operator-norm decay of a family of strongly continuous semigroups.