International conference in functional analysis dedicated to the 125th anniversary of Stefan Banach
Journal Title: Математичні Студії - Year 2017, Vol 48, Issue 2
Abstract
On March 30, 2017, the international mathematical community celebrated the 125th birthday of Stefan Banach, the famous Lviv mathematician, one of the founders of functional analysis. Dedicated to this anniversary, the International Conference in Functional Analysis was held in Lviv on September 18–23, 2017. The conference was organized by Ivan Franko National University of Lviv in cooperation with Institute of Mathematics NAS of Ukraine (Kyiv), Lviv Polytechnic National University and Pidstryhach Institute for Applied Problems of Mechanics and Mathematics (Lviv).
Authors and Affiliations
Taras Banakh, Oleh Gutik
On interpolation problem with derivative in the space of entire functions with fast-growing interpolation knots
In the paper are obtained the conditions on a sequence (bk,1;bk,2), k∈N, such that the interpolation problem g(λk)=bk,1, g′(λk)=bk,2 has a unique solution in a subspace of entire functions g that satisfy the condition ln...
On a Banach space of Laplace-Stieltjes integrals
Let Ω be class of positive unbounded functions Φ on (−∞,+∞) such that the derivative Φ′ is positive, continuously differentiable and increasing to +∞ on (−∞,+∞), φ be the inverse function to Φ′, and Ψ(x)=x−Φ(x)Φ′(x) be t...
On bonding of some bitopological notions
In this paper, we study two strong forms of separations axioms on bitopological spaces and we observe that the results on such axioms are odd compared to prevailing results of bitopological spaces or topological spaces,...
On generalized preopen sets
Firstly in this paper, we find some conditions under which μ-preopen sets of a GTS or μ-space X may be equivalent to μ-open in X. Finally, we obtain some characterizations of generalized paracompactness of a GTS or μ-spa...
Asymptotic properties of the impulse perturbation process under Levy approximation conditions with the point of equilibrium of the quality criterion
For the system of stochastic differential equations with Markov switchings and impulse disturbance in the conditions of Levy approximation in the conditions of a single point of equilibrium of the quality criterion, limi...