Some Theorems On The Fixed Point In Locally Convex Spaces
O. Hadžić, B. Stanković (1970)
Publications de l'Institut Mathématique
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O. Hadžić, B. Stanković (1970)
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We prove that a locally convex algebra A with jointly continuous multiplication is already locally-m-convex, if A contains a two-sided ideal I such that both I and the quotient algebra A/I are locally-m-convex. An application to the behaviour of the associated locally-m-convex topology on ideals is given.