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.
Author(s): Vladimir Kadets and Wiestaw Źelazko (Eds.)
Series: North Holland mathematics studies 197
Edition: 1
Publisher: North-Holland
Year: 2004
Language: English
Pages: 1-326
City: Amsterdam; London
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
