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On Hilbert spaces with unital multiplication

Published:1995 Issue:5 Volume:123 Page:1497-1501
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Zalar Borut

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1995-123-05/S0002-9939-1995-1233986-4/S0002-9939-1995-1233986-4.pdf

Reference3 articles.

1. Unital multiplications on a Hilbert space;Froelich, John;Proc. Amer. Math. Soc.,1993

2. A vertex property for Banach algebras with identity;Ingelstam, Lars;Math. Scand.,1962

3. Real Hilbert algebras with identity;Smiley, M. F.;Proc. Amer. Math. Soc.,1965

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Symmetric Quantum Sets and L-Algebras;International Mathematics Research Notices;2020-06-09

2. Gelfand–Mazur Theorems in normed algebras: A survey;Expositiones Mathematicae;2018-06

3. Some classes of pre-Hilbert algebras with norm-one central idempotent;Israel Journal of Mathematics;2012-05-29

4. On an Ingelstam's Theorem;Communications in Algebra;2007-11-26

5. A Very Simple and Elementary Proof of a Theorem of Ingelstam;The American Mathematical Monthly;2004-01

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