A factorable Banach algebra with inequivalent regular representation norm
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- by Michael Leinert
- Proc. Amer. Math. Soc. 60 (1976), 161-162
- DOI: https://doi.org/10.1090/S0002-9939-1976-0420136-5
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Abstract:
An example is given of a semisimple commutative Banach algebra which factorizes but whose norm is not equivalent to the norm induced by its regular representation. This is a stronger version of the example given in [4] and it can be viewed as an example of a factorizing commutative abstract Segal algebra.References
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- Michael Leinert, Remarks on Segal algebras, Manuscripta Math. 16 (1975), no. 1, 1–9. MR 454640, DOI 10.1007/BF01169059
- Michael Leinert, A commutative Banach algebra which factorizes but has no approximate units, Proc. Amer. Math. Soc. 55 (1976), no. 2, 345–346. MR 397312, DOI 10.1090/S0002-9939-1976-0397312-3
- William L. Paschke, A factorable Banach algebra without bounded approximate unit, Pacific J. Math. 46 (1973), 249–251. MR 324413
Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 60 (1976), 161-162
- MSC: Primary 46H99; Secondary 43A20
- DOI: https://doi.org/10.1090/S0002-9939-1976-0420136-5
- MathSciNet review: 0420136