Quasitriangular matrices
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- by J. Dombrowski
- Proc. Amer. Math. Soc. 69 (1978), 95-96
- DOI: https://doi.org/10.1090/S0002-9939-1978-0467373-3
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Abstract:
It is shown that there exist quasitriangular operators which cannot be represented as quasitriangular matrices.References
- Paul R. Halmos, Introduction to Hilbert space and the theory of spectral multiplicity, AMS Chelsea Publishing, Providence, RI, 1998. Reprint of the second (1957) edition. MR 1653399
- P. R. Halmos, Some unsolved problems of unknown depth about operators on Hilbert space, Proc. Roy. Soc. Edinburgh Sect. A 76 (1976/77), no. 1, 67–76. MR 451002, DOI 10.1017/S0308210500019491
- Tosio Kato, Perturbation of continuous spectra by trace class operators, Proc. Japan Acad. 33 (1957), 260–264. MR 92133
- Marvin Rosenblum, Perturbation of the continuous spectrum and unitary equivalence, Pacific J. Math. 7 (1957), 997–1010. MR 90028
Bibliographic Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 95-96
- MSC: Primary 47B15; Secondary 47A65
- DOI: https://doi.org/10.1090/S0002-9939-1978-0467373-3
- MathSciNet review: 0467373