Perturbation of the spectrum οf an essentially selfadjoint operator

• Autorzy: Andrzej Pokrzywa
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to find estimates of the Hausdorff distance between the spectra of two nonselfadjoint operators. The operators considered are assumed to have their imaginary parts in some normed ideal of compact operators. In the case of the classical Schatten ideals the estimates are given explicitly.

Słowa kluczowe

EN

crossnorm; spectrum

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1993-1995
• Tom: 22
• Numer: 1
• Strony: 75-89

Daty

wydano

1993

otrzymano

1992-11-18

poprawiono

1993-6-24

Twórcy

autor

Andrzej Pokrzywa

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Bibliografia

• [1] R. Bhatia and K. K. Mukherjea, On the rate of change of spectra of operators, Linear Algebra Appl. 27 (1979), 147-157.
• [2] L. Elsner, An optimal bound for spectral variation of two matrices, ibid. 71 (1985), 77-80.
• [3] I. C. Gohberg and M. G. Krein, Introduction to the Theory of Linear Non-Selfadjoint Operators, Nauka, Moscow, 1965 (in Russian).
• [3] I. C. Gohberg and M. G. Krein-, Theory of Volterra Operators and Its Applications, Nauka, Moscow, 1967 (in Russian).
• [5] T. Kato, Perturbation Theory for Linear Operators, Springer, Berlin, 1966.
• [6] A. Pokrzywa, Spectra of operators with fixed imaginary parts, Proc. Amer. Math. Soc. 81 (1981), 359-364.
• [7] A. Pokrzywa, On continuity of spectra in norm ideals, Linear Algebra Appl. 69 (1985), 121-130.
• [8] Mathematica, Version 2.0, Wolfram Research, Inc., Champaign, Ill., 1991.