Spectrum of the product of operators
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- by Milan Hladnik and Matjaž Omladič PDF
- Proc. Amer. Math. Soc. 102 (1988), 300-302 Request permission
Abstract:
It is shown that the product of two operators on a Hilbert space has real spectrum if one of them is symmetric and the other is positive. Also, the product of two positive operators has positive spectrum.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 300-302
- MSC: Primary 47A10,; Secondary 47A12
- DOI: https://doi.org/10.1090/S0002-9939-1988-0920990-2
- MathSciNet review: 920990