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

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### Contents

M An extension of the DenjoyCarleman quasianalytic | 58 |

S and Gohberg I C The factorization problem in abstract | 107 |

S and Gohberg I C The fac orization problem in abstract | 124 |

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According to Theorem admits a canonical Amer analytic arbitrary assertion B-complete Banach algebra bounded linear operators canonical factorization chain 9 closed set compact set complete spaces completely regular continuous function converges countable Denjoy-Carleman theorem denote the set dense Dokl eeery Engli,h entire function equation Euclidean topology exists a number finite interval follows formula Fourier function defined function p(x funcuon fundamental system hence hyperplane I. C. Gohberg implies inequality infinitely differentiable integral invertible Lemma linear function linear space locally convex space M,th Math N,uk natural number neighborhood of zero normed space obtain orthogonal chain polar set positive numbers problem proof of Theorem properties proposition quadratically close quasi-analytic real numbers s.eficient sequence set K C T SntSM sp-e subalgebras Suppose given system of neighborhoods theorem is proved topological space vector weak topology