## Tamkang Journal of Mathematics, Volumes 7-8Tamkang University, 1976 - Mathematics |

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abelian group Amer assume automorphism autotopism B-space Banach space barrelled space bounded Cauchy Cauchy sequence cn cn COCOCOCO common fixed point commutative completes the proof constant contradiction converges COROLLARY countably countably barrelled space CS(L decomposition defined DEFINITION denote Department of Mathematics differential distribution distributive lattice element equations exists finite fixed point theorem function given Hadamard product Hence Hilbert Hilbert class field homomorphism idempotent implies inequality integer inverse property isomorphic kernel functor lattice Lemma locally convex spaces loop manifold mappings Math matrix maximal metric space module monoid neighbourhood nilpotent nonempty norm obtain operator p-group positive integer prime profinite groups PROPOSITION prove quasi-reflexive Remark representation respectively result ring Schauder sequence Sidon set solution subgroup of G subset subspace Suppose Tamkang Theorem 2.1 theory topological group topological semifield topological vector space two-norm space unique zero