Weak $A$-convex algebras
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- by Allan C. Cochran
- Proc. Amer. Math. Soc. 26 (1970), 73-77
- DOI: https://doi.org/10.1090/S0002-9939-1970-0262830-X
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Abstract:
Necessary and sufficient conditions are given in terms of $E’$ that a weak topology $w(E,E’)$ on an algebra $E$ be $A$-convex. The main condition is that each element $g$ of $E’$ contain a weakly closed subspace $L$ of finite codimension such that $g$ is bounded on all multiplicative translates of $L$. For weak topologies, $A$-convexity (which assumes only separate continuity of multiplication) is equivalent to joint continuity of multiplication.References
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Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 26 (1970), 73-77
- MSC: Primary 46.50
- DOI: https://doi.org/10.1090/S0002-9939-1970-0262830-X
- MathSciNet review: 0262830