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Quasitriangular matrices
Author:
J. Dombrowski
Journal:
Proc. Amer. Math. Soc. 69 (1978), 95-96
MSC:
Primary 47B15; Secondary 47A65
MathSciNet review:
0467373
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Abstract: It is shown that there exist quasitriangular operators which cannot be represented as quasitriangular matrices.
- [1]
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
(99g:47001)
- [2]
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 0451002
(56 #9292)
- [3]
Tosio
Kato, Perturbation of continuous spectra by trace class
operators, Proc. Japan Acad. 33 (1957),
260–264. MR 0092133
(19,1068d)
- [4]
Marvin
Rosenblum, Perturbation of the continuous spectrum and unitary
equivalence, Pacific J. Math. 7 (1957),
997–1010. MR 0090028
(19,756i)
- [1]
- P. R. Halmos, Introduction to Hilbert space and the theory of spectral multiplicity, Chelsea, New York, 1951. MR 1653399 (99g:47001)
- [2]
- -, Some unsolved problems of unknown depth about operators on Hilbert space, Proc. Roy. Soc. Edinburgh Sect. A 76 (1976), 67-76. MR 0451002 (56:9292)
- [3]
- T. Kato, Perturbation of continuous spectra by trace class operators, Proc. Japan Acad. 33 (1957), 260-264. MR 0092133 (19:1068d)
- [4]
- M. Rosenblum, Perturbation of the continuous spectrum and unitary equivalence, Pacific J. Math. 7 (1957), 997-1010. MR 0090028 (19:756i)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1978-0467373-3
PII:
S 0002-9939(1978)0467373-3
Article copyright:
© Copyright 1978 American Mathematical Society
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