Projections algebraically generate the bounded operators on real or quaternionic Hilbert space

Holland, Samuel S.

doi:10.1090/S0002-9939-1995-1273495-X

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Projections algebraically generate the bounded operators on real or quaternionic Hilbert space
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by Samuel S. Holland PDF

Proc. Amer. Math. Soc. 123 (1995), 3361-3362 Request permission

Abstract:

We prove the theorem of the title.

References

Jacques Dixmier, Position relative de deux variétés linéaires fermées dans un espace de Hilbert, Revue Sci. 86 (1948), 387–399 (French). MR 29095
Peter A. Fillmore, On sums of projections, J. Functional Analysis 4 (1969), 146–152. MR 0246150, DOI 10.1016/0022-1236(69)90027-5
P. A. Fillmore and D. M. Topping, Operator algebras generated by projections, Duke Math. J. 34 (1967), 333–336. MR 209855, DOI 10.1215/S0012-7094-67-03436-9

Functional analysis