Asymptotic intertwining and spectral inclusions on Banach spaces
Asymptotic inversion of convolution operators
Asymptotic periodicity of Markov operators on signed measures
A new criterion of asymptotic periodicity of Markov operators on , established in [3], is extended to the class of Markov operators on signed measures.
Asymptotic periodicity of the iterates of positive contractions on Banach lattices
Asymptotic properties of Markov operators defined by Volterra type integrals
New sufficient conditions for asymptotic stability of Markov operators are given. These criteria are applied to a class of Volterra type integral operators with advanced argument.
Asymptotic properties of the iterates of stochastic operators on (AL) Banach lattices
Asymptotic properties of the Radon transform in .
Asymptotic Properties of the Radon Transform in Rn
Asymptotic stability condition for stochastic Markovian systems of differential equations
Asymptotic stability of the zero solution for stochastic jump parameter systems of differential equations given by , where is a finite-valued Markov process and w(t) is a standard Wiener process, is considered. It is proved that the existence of a unique positive solution of the system of coupled Lyapunov matrix equations derived in the paper is a necessary asymptotic stability condition.
Asymptotically commuting families of operators.
Asymptotically cyclic quasianalytic contractions
The study of quasianalytic contractions, motivated by the hyperinvariant subspace problem, is continued. Special emphasis is put on the case when the contraction is asymptotically cyclic. New properties of the functional commutant are explored. Analytic contractions and bilateral weighted shifts are discussed as illuminating examples.
Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences
Attractors and asymptotic periodicity of positive operators on Banach lattices.
Automatic continuity of biseparating maps
We prove that a biseparating map between spaces of vector-valued continuous functions is usually automatically continuous. However, we also discuss special cases when this is not true.
Automatic continuity of linear maps on spaces of continuous functions.
Automatic extensions of functional calculi
Given a Banach algebra ℱ of complex-valued functions and a closed, linear (possibly unbounded) densely defined operator A, on a Banach space, with an ℱ functional calculus we present two ways of extending this functional calculus to a much larger class of functions with little or no growth conditions. We apply this to spectral operators of scalar type, generators of bounded strongly continuous groups and operators whose resolvent set contains a half-line. For f in this larger class, one construction...
Automorphismes et dérivations de «petites normes» sur un corps value non archimédien
Automorphisms and derivations on a universally complete complex -algebra.
Automorphisms of C commuting with partial integration operators in a rectangle
Convolutional representations of the commutant of the partial integration operators in the space of continuous functions in a rectangle are found. Necessary and sufficient conditions are obtained for two types of representing functions, to be the operators in the commutant continuous automorphisms. It is shown that these conditions are equivalent to the requirement that the considered representing functions be joint cyclic elements of the partial integration operators.
is generated in strong operator topology by two of its elements