Perturbation of spectrums of operator matrices
Authors:
Hong Ke Du and Pan Jin
Journal:
Proc. Amer. Math. Soc. 121 (1994), 761-766
MSC:
Primary 47A10; Secondary 47A62
DOI:
https://doi.org/10.1090/S0002-9939-1994-1185266-2
MathSciNet review:
1185266
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper, we study the perturbation of spectrums of operator matrices such as
on the Hilbert space
. For given A and B, we prove that



- [1] J. B. Conway and B. B. Morrel, Surveys of some resent results in operator theory, Vol. 1, Pitman Res. Notes Math. Ser., vol. 171, Longman Sci. Tech., Harlow, 1988. MR 958568 (89b:47004)
- [2]
C. Foias, Commutant lifting techniques for computing optimal
controller, Indiana University at Bloomington, 1990.
- [3]
C. Gu, On the four block problem and simultaneous
and
suboptimization, preprint.
- [4]
A. Schweinsberg, Similarity orbits and the range of the generalized derivation
, Trans. Amer. Math. Soc. 324 (1991), 201-211. MR 1005938 (92e:47025)
- [5] S. C. Power, Hankel operators on Hilbert space, Pitman Res. Notes Math. Ser., vol. 64, Longman Sci. Tech., Harlow, 1982. MR 666699 (84e:47037)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1994-1185266-2
Keywords:
Perturbation of spectrums,
operator matrices
Article copyright:
© Copyright 1994
American Mathematical Society