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

 

Unital multiplications on a Hilbert space


Author: John Froelich
Journal: Proc. Amer. Math. Soc. 117 (1993), 757-759
MSC: Primary 46H20; Secondary 47D25
MathSciNet review: 1116259
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Abstract: We provide a new proof of two theorems of Ingelstam that identify the Hilbert spaces with a unital multiplication satisfying $ \vert\vert xy\vert\vert \leqslant \vert\vert x\vert\vert\,\vert\vert y\vert\vert$ and $ \vert\vert 1\vert\vert = 1$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1116259-8
PII: S 0002-9939(1993)1116259-8
Article copyright: © Copyright 1993 American Mathematical Society