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

R. Giles; H. Kummer

doi:10.4153/CMB-1971-006-5

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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

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

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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Shabtai, Ood 2021. On polynomials in spectral projections of spin operators. Letters in Mathematical Physics, Vol. 111, Issue. 5,

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

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