Translated from the Russian.

Includes bibliographies.

On the quasianalyticity generated by the metric of the space _p /; An estimate of the norm of a function in a Hardy space in terms of the norms of its real and imaginary parts /; On unconditional bases in nonreflexive function spaces /; Nontriviality of some classes of periodic functions of the type of infinite-order Sobolev spaces /; Multipliers of Sobolev spaces in a domain /; Multipliers in pairs of spaces of potentials /; On sufficient conditions for functions to belong to classes of multipliers /; Smallest values assumed by the global homological dimension of Banach function algebras /; The present state of the spectral analysis-synthesis problem. I /; On the structure and triangular models of systems of a class of commutative operators /; On extensions of a positive-definite symmetric operator /; Multiple expansion in generalized eigenvectors and associated vectors of a class of operator-valued functions in the presence of a continuous spectrum /; New classes of semigroups /; Stability of Fredholm complexes of Banach spaces relative to perturbations that are small in norm /; Existence and properties of the degree of almost strongly Fredholm mappings / S. O. Sinanyan; I. E. Verbitskii; G. E. Tkebuchava; L. I. Klenina; V. G. Mazya and T. O. Shaposhnikova; V. G. Mazya and T. O. Shaposhnikova; V. G. Mazya and T. O. Shaposhnikova; A. Ya. Khelemskii; N. K. Nikolskii; V. A. Zolotarev; A. N. Kochubei; F. G. Maksudov and B. P. Allakhverdiev; A. V. Zafievskii; A. S. Fainshtein; M. Ya. Antonovskii