## Pacific Journal of Mathematics, Volume 63Pacific Journal of Mathematics, 1976 - Mathematics |

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### Contents

B Aupetit Caracterisation spectrale des algebres Banach | 23 |

Bernstein Fundamental unit and cycles in the period of real | 37 |

Bernstein Fundamental unit and cycle in the period of real | 63 |

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abelian group algebra Amer analytic assume Baire space Banach algebra Banach space bounded choose closure coequalizers Cohen-Macaulay commutative condition constant contains continuous functions continuous metric converges Corollary countable define definition denote dense eigenvalue element endofunctors equation example exists expansion extension field finite fixed point follows formula Fourier functor given graph Hausdorff Hausdorff space Hence homomorphism homotopy equivalence idempotent identity implies inclusion-induced induced integer isomorphism Korovkin left-exact Lemma Let G lim1 linear subspace linear topological space Math maximal metric family multiplicity nonoscillatory norm notation obtain operator periodic continued fraction polynomial positive prime ideal primitive period proof of Theorem Proposition prove pseudo-complete quotient result ring satisfies scalar associative sequence Sidon Sidon sets solution subgroup subset subspace sufficient Suppose Theorem 2.1 topological space topology torsion unique vector space zero