Spectra of the difference and product of projections
Author:
Matjaž Omladič
Journal:
Proc. Amer. Math. Soc. 99 (1987), 317-318
MSC:
Primary 47A10; Secondary 47B15
DOI:
https://doi.org/10.1090/S0002-9939-1987-0870792-X
MathSciNet review:
870792
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Abstract | References | Similar Articles | Additional Information
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.
- [1] 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, https://doi.org/10.1080/03081088508817661
- [2] Paul Richard Halmos, A Hilbert space problem book, 2nd ed., Graduate Texts in Mathematics, vol. 19, Springer-Verlag, New York-Berlin, 1982. Encyclopedia of Mathematics and its Applications, 17. MR 675952
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1987-0870792-X
Article copyright:
© Copyright 1987
American Mathematical Society
