On quasi-analytic vectors for some classes of operators
On quasi-compactness of operator nets on Banach spaces
The paper introduces a notion of quasi-compact operator net on a Banach space. It is proved that quasi-compactness of a uniform Lotz-Räbiger net is equivalent to quasi-compactness of some operator . We prove that strong convergence of a quasi-compact uniform Lotz-Räbiger net implies uniform convergence to a finite-rank projection. Precompactness of operator nets is also investigated.
On quasi-contraction mappings in Banach spaces
On quasi-free Hilbert modules.
On quasinormal operators
On Quasi-Normality of Two-Sided Multiplication
2000 Mathematics Subject Classification: 47B47, 47B10, 47A30.In this note, we characterize quasi-normality of two-sided multiplication, restricted to a norm ideal and we extend this result, to an important class which contains all quasi-normal operators. Also we give some applications of this result.
On quasiparabolical differential equations of higher order
On radially symmetric solutions of some chemotaxis system
This paper contains some results concerning self-similar radial solutions for some system of chemotaxis. This kind of solutions describe asymptotic profiles of arbitrary solutions with small mass. Our approach is based on a fixed point analysis for an appropriate integral operator acting on a suitably defined convex subset of some cone in the space of bounded and continuous functions.
On random boundary value problems for ordinary differential equations
On random coincidence and fixed points for a pair of multivalued and single-valued mappings.
On random evolutions induced by countable state space Markov chains
On reaction-diffusion systems.
On real and complex spectra in some real -algebras and applications.
On realizations related to Weyl operators.
On reducibility of some operator semigroups and algebras on locally convex spaces.
On reduction of linear two variable functional equations to differential equations without substitutions.
On reflexive subobject lattices and reflexive endomorphism algebras
In this paper we study the reflexive subobject lattices and reflexive endomorphism algebras in a concrete category. For the category Set of sets and mappings, a complete characterization for both reflexive subobject lattices and reflexive endomorphism algebras is obtained. Some partial results are also proved for the category of abelian groups.
On reflexivity and hyperreflexivity of some spaces of intertwining operators
Let be weak contractions (in the sense of Sz.-Nagy and Foiaş), the minimal functions of their parts and let be the greatest common inner divisor of . It is proved that the space of all operators intertwining is reflexive if and only if the model operator is reflexive. Here means the compression of the unilateral shift onto the space . In particular, in finite-dimensional spaces the space is reflexive if and only if all roots of the greatest common divisor of minimal polynomials...
On reflexivity of representations of local Commutative Algebras