Continuity and general perturbation of the Drazin inverse for closed linear operators.
Continuity at zero of semi-groups on L1 and differentiation of additive processes
Continuity versus nonexistence for a class of linear stochastic Cauchy problems driven by a Brownian motion
Let denote the generator of the rotation group in the space , where denotes the unit circle. We show that the stochastic Cauchy problem where is a standard Brownian motion and is fixed, has a weak solution if and only if the stochastic convolution process has a continuous modification, and that in this situation the weak solution has a continuous modification. In combination with a recent result of Brzeźniak, Peszat and Zabczyk it follows that (1) fails to have a weak solution for all...
Continuous isometric semigroups and reflexivity
Abstract. We consider the reflexivity of a WOT-closed algebra generated by continuous isometric semigroups parametrized by the semigroup of non-negative reals or the semigroup of finite sequences of non-negative reals. It is also proved that semigroups of continuous unilateral multi-parameter shifts are reflexive.
Continuous selections of set of mild solutions of evolution inclusions.
Continuous selections of solution sets to second order evolution equations.
Contributi all'analisi spettrale algebrica
Controllability of semilinear integrodifferential equations with nonlocal conditions.
Convergence at the origin of integrated semigroups
We study a classification of κ-times integrated semigroups (for κ > 0) by their (uniform) rate of convergence at the origin: as t → 0 (0 ≤ α ≤ κ). By an improved generation theorem we characterize this behaviour by Hille-Yosida type estimates. Then we consider integrated semigroups with holomorphic extension and characterize their convergence at the origin, as well as the existence of boundary values, by estimates of the associated holomorphic semigroup. Various examples illustrate these results....
Convergence in evolutionary variational inequalities with hysteresis nonlinearities
Convergence rates of ergodic limits for semigroups and cosine functions.
Convoluted -groups
Convoluted C-operator families and abstract Cauchy problems
Convolution Semigroups of Local Type.
Correction to my paper "On a type of matrix semigroup algebras" .
Corrigendum on "Semigroup-theoretical proofs of the central limit theorem and other theorems of analysis.
Corrigendum to Maximal regularity and Hardy spaces.
Corrigendum to: “On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations”
A corrected version of [P. Grabowski and F.M. Callier, ESAIM: COCV12 (2006) 169–197], Theorem 4.1, p. 186, and Example, is given.
Corrigendum to “On the spectral bound of the generator of a -semigroup” (Studia Math. 125 (1997), 23-33)
Some statements of the paper [4] are corrected.
Cosine families of unbounded normal operators