منابع مشابه
Some Results on Automatic Continuity of Group Representations and Morphisms
In the first part of the paper, some criteria of continuity of representations from a locally compact group in a Banach algebra are given. The common feature of these results is the fact that the continuity of a representation can be deduced from the continuity of its composition with some linear forms on its range. The second part uses the result of the first part to deduce automatic continuit...
متن کاملAutomatic continuity of surjective $n$-homomorphisms on Banach algebras
In this paper, we show that every surjective $n$-homomorphism ($n$-anti-homomorphism) from a Banach algebra $A$ into a semisimple Banach algebra $B$ is continuous.
متن کاملSome Theorems on Continua
PROOF. Let {Gn} and {Hn} denote monotonie decreasing sequences of open sets which close down upon .Pi and F2 respectively. We may suppose that d and Hi are so chosen that G i # i = 0. Now, by Mullikin's theorem, there is a connected subset of C— C(Gw+27n) which has a limit point in Gn and a limit point in Hn. The closure of such a connected set is a subcontinuum of C which "extends" from Gn to ...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2003
ISSN: 1370-1444
DOI: 10.36045/bbms/1070645805