Functional analysis and its applications proceedings of the International Conference on Functional Analysis and its Applications, dedicated to the 110th anniversary of Stefan Banach, May 28-31, 2002, Lviv, Ukraine

Vladimir Kadets and Wiestaw Źelazko (Eds.)0444513736, 9780444513731, 9780080472805, 9786610967223

The conference took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach f{ the most outstanding representative of the Lviv mathematical school. Banach spaces, introduced by Stefan Banach at the beginning of twentieth century, are familiar now to every mathematician. The book contains a short historical article and scientific contributions of the conference participants, mostly in the areas of functional analysis, general topology, operator theory and related topics.

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Table of contents :
Content:
Preface
Pages vii-viii
Ya.G. Prytula, A.V. Zagorodnyuk

List of participants
Pages ix-xvi

Stefan Banach and Lviv Mathematical School Original Research Article
Pages 1-3
Yaroslav Prytula

Existence of k-media and medians Original Research Article
Pages 5-11
Elisabetta Alvoni, Pier Luigi Papini

On optimization of approximate integration of multivariate periodic functions Original Research Article
Pages 13-22
Vladislav F. Babenko, Sergiy V. Borodachov

Topological spaces with the strong Skhorokhod property, II Original Research Article
Pages 23-47
Taras Banakh, Vladimir I. Bogachev, Alexander. V. Kolesnikov

Fourth order spectral problem with eigenvalue in the boundary conditions Original Research Article
Pages 49-58
Jamel Ben Amara

Extending operators into λ∞ spaces under a twisted light Original Research Article
Pages 59-70
Félix Cabello Sánchez, Jesús M.F. Castillo, Yolanda Moreno, David T. Yost

Un théorème de point fixe pour les fonctions multivoques acycliques Original Research Article
Pages 71-80
Robert Cauty

Almost periodic mappings to complex manifolds Original Research Article
Pages 81-84
Sergej Favorov, Natalia Parfyonova

Some new differential equations of the first-order in the spaces M(1,3)×R(u) and M(1,4)×R(u) with given symmetry groups Original Research Article
Pages 85-95
Vasyl Fedorchuk, Volodymyr Fedorchuk

Inverse spectral problems for sturm-liouville operators with singular potentials, II. Reconstruction by two spectra Original Research Article
Pages 97-114
Rostyslav O. Hryniv, Yaroslav V. Mykytyuk

Incorrect nonlocal boundary value problem for partial differential equations Original Research Article
Pages 115-121
Volodymyr Il’kiv

Singular integral operators with flip and unbounded coefficients on rearrangement-invariant spaces Original Research Article
Pages 123-131
Alexei Karlovich

Spectrum as the support of functional calculus Original Research Article
Pages 133-141
Vladimir V. Kisil

Generalized normality in topological products and related Structures Original Research Article
Pages 143-154
Anatoli P. Kombarov, Andrew N. Yakivchik

Nonstandard universe based on internal set theory Original Research Article
Pages 155-166
Taras Kudryk, Wladyslav Lyantse, Vitor Neves

The beurling theorem for entire functions of finite order Original Research Article
Pages 167-169
Konstantin G. Malyutin, Nazim Sadyk

Dvoretzky’s theorem by Gaussian method Original Research Article
Pages 171-184
Ivan Matsak, Anatolij Plichko

On the inverse problem of scattering theory for a differential operator of the second order Original Research Article
Pages 185-194
Khanlar R. Mamedov, Hamza Menken

On the automorphisms and multipliers related to generalized integration operators Original Research Article
Pages 195-203
Swietŀana Minczewa-Kamińska

On some classes of mappings preserving of measure Original Research Article
Pages 205-208
Oksana A. Ochakovskaya

Extreme problems and scales of the operator spaces Original Research Article
Pages 209-227
Igor V. Orlov

On some problem of the convolution of bounded functions Original Research Article
Pages 229-238
Krzysztof Piejko, Janusz Sokóŀ, Jan Stankiewicz

Superstrictly singular and superstrictly cosingular operators Original Research Article
Pages 239-255
Anatolij Plichko

m-adic multivariate linear splines and their applications to approximation theory Original Research Article
Pages 257-266
Aliaksandr Radyna

Change of variable in integrals over p-adic and adelic domains Original Research Article
Pages 267-272
Yauhen Radyna

Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top Original Research Article
Pages 273-286
A.A. Shkalikov

Property of maximality for spectral components Original Research Article
Pages 287-293
Alexey Tikhonov

A general view on approximation ideals Original Research Article
Pages 295-300
Nicolae Tiţa

Inversion of the local Pompeiu transform Original Research Article
Pages 301-309
Natalia P. Volchkova

Space of probability measures and absolute extensors in the asymptotic category Original Research Article
Pages 311-316
Mykhajlo M. Zarichnyi

F-algebras: Some results and open problems Original Research Article
Pages 317-326
Wieslaw Żelazko