On an th-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution.
On analytic semigroups and cosine functions in Banach spaces
If A generates a bounded cosine function on a Banach space X then the negative square root B of A generates a holomorphic semigroup, and this semigroup is the conjugate potential transform of the cosine function. This connection is studied in detail, and it is used for a characterization of cosine function generators in terms of growth conditions on the semigroup generated by B. The characterization relies on new results on the inversion of the vector-valued conjugate potential transform.
On analyticity of Ornstein-Uhlenbeck semigroups
Let be a transition semigroup of the Hilbert space-valued nonsymmetric Ornstein-Uhlenbeck process and let denote its Gaussian invariant measure. We show that the semigroup is analytic in if and only if its generator is variational. In particular, we show that the transition semigroup of a finite dimensional Ornstein-Uhlenbeck process is analytic if and only if the Wiener process is nondegenerate.
On Apery's differential operator
On applicability of the projection method to two-dimensional Toeplitz operators with measurable symbol.
On approximation by Toeplitz operators
On approximation of compact multivalued maps in topological vector spaces.
On approximation of copulas.
On asymptotic cyclicity of doubly stochastic operators
It is proved that a doubly stochastic operator P is weakly asymptotically cyclic if it almost overlaps supports. If moreover P is Frobenius-Perron or Harris then it is strongly asymptotically cyclic.
On Atkinson Operators in Locally Convex Spaces.
On automatic boundedness of Nemytskiĭ set-valued operators
Let X, Y be two separable F-spaces. Let (Ω,Σ,μ) be a measure space with μ complete, non-atomic and σ-finite. Let be the Nemytskiĭ set-valued operator induced by a sup-measurable set-valued function . It is shown that if maps a modular space into subsets of a modular space , then is automatically modular bounded, i.e. for each set K ⊂ N(L(Ω,Σ,μ;X)) such that we have .
On automatic continuity of 3-holomorphisms on Banach algebras.
On -bounded semigroups as a generalization of -semigroups.
On Banach ideals determined by Banach lattices and their applications [Book]
On Banach spaces X for which
On Banach spaces X such that L(Lp,X) = K(Lp,X).
On bare and semibare points for some classes of operators
On bases and the shift operator
On Berberian's representation
On Bergman operators of exponential type