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
North-Holland Mathematics Studies Series

The conference took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach ?{ 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.

Preface . List of participants . Ya.G. Prytula. Stefan Banach and Lviv Mathematical School E. Alvoni, P.L. Papini. Existence of k-media and medians V.F. Babenko, S.V. Borodachov. On optimization of approximate integration of multivariate periodic functions T. Banakh, V.I. Bogachev, A.V. Kolesnikov. Topological spaces with the strong Skhorokhod property, II J. Ben Amara. Fourth order spectral problem with eigenvalue in the boundary conditions F. Cabello Sánchez, J. M. F. Castillo, Y. Moreno, D.T. Yost. Extending operators into L∞ spaces under a twisted light R. Cauty. Un théorème de point fixe pour les fonctions multivoques acycliques S. Favorov, N. Parfyonova. Almost periodic mappings to complex manifolds V. Fedorchuk, V. Fedorchuk. Some new differential equations of the first-order in the spaces with M(1,3)xR(u) and M(1,4)xR(u) with given symmetry group R.O. Hryniv, Ya.V. Mykytyuk. Inverse spectral problems for Sturm-Liouville operators with singular potentials, II. Reconstruction by two spectra V. Il'kiv. Incorrect nonlocal boundary value problem for partial differential equations A.Karlovich. Singular integral operators with flip and unbounded coefficients on rearrangement-invariant spaces V.V. Kisil. Spectrum as the support of functional calculus A.P. Kombarov, A.N. Yakivchik. Generalized normality in topological products and related structures T. Kudryk, W. Lyantse, V. Neves. Nonstandard universe based on internal set theory K.G. Malyutin, N. Sadyk. The Beurling theorem for entire functions of finite order I. Matsak, A. Plichko. Dvoretzky's theorem by Gaussian method K.R. Mamedov, H. Menken. On the inverse problem of scattering theory for a differential operator of the second order S. Minczewa-Kamińska. On the automorphisms and multipliers related to generalized integration operators O.A. Ochakovskaya. On some classes of measure preserving mappings K. Piejko, J. Sokół , J. Stankiewicz. On some problem of the convolution of bounded functions I.V. Orlov. Extreme problems and scales of the operator spaces A. Plichko. Superstrictly singular and superstrictly cosingular operators A. Radyna. Adic multivariate linear splines and their applications to approximation theory Ya. Radyna. Change of variable in integrals over p -adic and adelic domains A.A. Shkalikov. Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top A. Tikhonov. Property of maximality for spectral components N. Tiţa. A general view on approximation ideals N.P. Volchkova. Inversion of the local Pompeiu transform M.M. Zarichnyi. Space of probability measures and absolute extensors in the asymptotic category W. Żelazko. F-Algebras: some results and open problems

Individual mathematicians working in functional analysis, operator theory, general topology and also in history of mathematics.