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A commutant property of symmetric ternary algebras

Published online by Cambridge University Press:  24 October 2008

W. G. Sullivan  and
A. Joseph
W. G. Sullivan
Affiliation:
School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia, 30332 and Physics Department, Tel Aviv University, Ramat Aviv, Israel
A. Joseph
Affiliation:
School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia, 30332 and Physics Department, Tel Aviv University, Ramat Aviv, Israel
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Abstract

A commutant property of ternary algebras, defined as linear subspaces of ℬ(ℋ) (bounded operators on some Hubert space ℋ) closed under three-fold multiplication, is demonstrated through the recovery of an operator from its non- orthogonal restrictions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 1 , July 1971 , pp. 1 - 4
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

(1)Joseph, A.Proc. Cambridge Philos. Soc. 69 (1971), 25–52.CrossRefGoogle Scholar
(2)Naimark, M. A.Normed rings (P. Noordhoff Ltd.; Groningen, 1964).Google Scholar