Bounded approximate units and bounded approximate identities
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- by Josef Wichmann
- Proc. Amer. Math. Soc. 41 (1973), 547-550
- DOI: https://doi.org/10.1090/S0002-9939-1973-0324415-9
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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.References
- Hans Reiter, $L^{1}$-algebras and Segal algebras, Lecture Notes in Mathematics, Vol. 231, Springer-Verlag, Berlin-New York, 1971. MR 0440280
- Hwai Chiuan Wang, Nonfactorization in group algebras, Studia Math. 42 (1972), 231–241. MR 303217, DOI 10.4064/sm-42-3-231-241
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 547-550
- MSC: Primary 46H05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0324415-9
- MathSciNet review: 0324415