## American Mathematical Society TranslationsTranslations of articles on mathematics appearing in various Russian mathematical serials. |

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### Contents

Ceitlin Ja M Unconditional bases and semiorderedness LJeMTJlWH | 17 |

NikolskiT S M Imbedding theorems for functions with partial deriv | 42 |

A and Gohberg I C On factorization of operators | 81 |

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admits a factorization admits the factorization Akad algebra Amer analogous arbitrary Banach space bornological space bounded linear operator bounded operator bounded vector variation chain of bounded completely continuous conditions of Theorem contraction converge uniformly Corollary corresponding defined denote dissipative operator Dokl English transl equation finite follows formula function f Hence Hermitian operators Hilbert space homogeneous functional hyperplane I. C. Gohberg implies inequality integral invariant subspace invertible operator Lemma limit linear manifold Macaev Math matrix multiplicative operator natural number Nauk SSSR norm obtain open system operator A admits operator function operator group operators in Hilbert order topology orthogonal projectors Proof proposition region G regular function representation ring Russian selfadjoint selfadjoint operator semi-eigenvectors semigroup sequence of numbers spectral spectrum subspace Suppose Theorem 2.4 theorem is proved theory tion triangular unconditional basis uniform convergence unitary operator Volterra operators weak topology weakly zero