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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Bounded approximate units and bounded approximate identities


Author: Josef Wichmann
Journal: Proc. Amer. Math. Soc. 41 (1973), 547-550
MSC: Primary 46H05
MathSciNet review: 0324415
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Abstract: In this paper we establish the equivalence of the general concept of bounded approximate units in a normed algebra with the traditionally used notion of a bounded approximate identity. Furthermore, we investigate pointwise-bounded approximate units in commutative normed algebras.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0324415-9
PII: S 0002-9939(1973)0324415-9
Keywords: Approximate unit, approximate identity, normed algebra, Banach algebra
Article copyright: © Copyright 1973 American Mathematical Society