On Hilbert spaces with unital multiplication
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- by Borut Zalar PDF
- Proc. Amer. Math. Soc. 123 (1995), 1497-1501 Request permission
Abstract:
We give a new simplified proof of two theorems of Froelich, Ingelstam, and Smiley. Our approach enables us also to generalize both of them. In the second section we prove a related theorem which requires different methods for its proof.References
- John Froelich, Unital multiplications on a Hilbert space, Proc. Amer. Math. Soc. 117 (1993), no. 3, 757–759. MR 1116259, DOI 10.1090/S0002-9939-1993-1116259-8
- Lars Ingelstam, A vertex property for Banach algebras with identity, Math. Scand. 11 (1962), 22–32. MR 146679, DOI 10.7146/math.scand.a-10646
- M. F. Smiley, Real Hilbert algebras with identity, Proc. Amer. Math. Soc. 16 (1965), 440–441. MR 176316, DOI 10.1090/S0002-9939-1965-0176316-2
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1497-1501
- MSC: Primary 46K15; Secondary 17A35, 17D05, 46H70
- DOI: https://doi.org/10.1090/S0002-9939-1995-1233986-4
- MathSciNet review: 1233986