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 F. Riesz and Béla Sz.-Nagy, Functional analysis, 2nd ed., Ungar, New York, 1955.
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3361-3362
- MSC: Primary 47D25; Secondary 47C10
- DOI: https://doi.org/10.1090/S0002-9939-1995-1273495-X
- MathSciNet review: 1273495