Spectra of the difference and product of projections

Omladič, Matjaž

doi:10.1090/S0002-9939-1987-0870792-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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Spectra of the difference and product of projections
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by Matjaž Omladič PDF

Proc. Amer. Math. Soc. 99 (1987), 317-318 Request permission

Abstract:

A short natural proof of the known relation between spectra of the difference and the product of two orthogonal projections is given. This proof also generalizes this result.

References

William N. Anderson Jr., E. James Harner, and George E. Trapp, Eigenvalues of the difference and product of projections, Linear and Multilinear Algebra 17 (1985), no. 3-4, 295–299. MR 800038, DOI 10.1080/03081088508817661
Paul Richard Halmos, A Hilbert space problem book, 2nd ed., Encyclopedia of Mathematics and its Applications, vol. 17, Springer-Verlag, New York-Berlin, 1982. MR 675952