The papers in this volume cover topics on functional analysis. They have been selected, translated, and edited from publications not otherwise translated into English under the auspices of the AMS-ASL-IMS Committee on Translations from Russian and Other Foreign Languages.

Table of Contents

• S. D. Sinanyan -- On the quasianalyticity generated by the metric of the space \(L_p\)
• I. Verbitskiĭ -- An estimate of the norm of a function in a Hardy space in terms of the norms of its real and imaginary parts
• G. E. Tkebuchava -- On unconditional bases in nonreflexive function spaces
• L. I. Klenina -- Nontriviality of some classes of periodic functions of the type of infinite-order Sobolev spaces
• V. G. Maz'ya and T. O. Shaposhnikova -- Multipliers of Sobolev spaces in a domain
• V. G. Maz'ya and T. O. Shaposhnikova -- Multipliers in pairs of spaces of potentials
• V. G. Maz'ya and T. O. Shaposhnikova -- On sufficient conditions for functions to belong to classes of multipliers
• A. Ya. Khelemskiĭ -- Smallest values assumed by the global homological dimension of Banach function algebras
• N. K. Nikol'skiĭ -- The present state of the spectral analysis-synthesis problem. I
• V. A. Zolotarev -- On the structure and triangular models of systems of a class of commutative operators
• A. N. Kochubeĭ -- On extensions of a positive-definite symmetric operator
• F. G. Maksudov and B. P. Allakhverdiev -- Multiple expansion in generalized eigenvectors and associated vectors of a class of operator-valued functions in the presence of a continuous spectrum
• A. V. Zafievskiĭ -- New classes of semigroups
• A. S. Faĭnshteĭn -- Stability of Fredholm complexes of Banach spaces relative to perturbations that are small in \(q\)-norm
• M. Ya. Antonovskiĭ -- Existence and properties of the degree of almost strongly Fredholm mappings