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A Matrix Representation of a Pair of Projections in a Hilbert Space

Published online by Cambridge University Press:  20 November 2018

R. Giles  and
H. Kummer
R. Giles
Affiliation:
Queen's University, Kingston, Ontario
H. Kummer
Affiliation:
Queen's University, Kingston, Ontario
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Let H be a complex Hilbert space and let K = H ⊕ H. Then K can be identified with the set of all column matrices

equipped with componentwise addition and scalar multiplication and the scalar product

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 1 , January 1971 , pp. 35 - 44
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Dixmier, J., Les algèbres d'opérateurs dans Vespace Hilbertien, Gauthier-Villars, Paris, 1969.Google Scholar
2. Halmos, P. R., Introduction to Hilbert space and the theory of spectral multiplicity, Chelsea, New York.Google Scholar