Remarks on the spectrum of a compact convex set of compact operators

• Autorzy: Pham K. A. , Nguyen X. T.
• Języki publikacji: EN

Abstrakty

EN

In this note we derive a necessary and sufficient condition for a compact convex set of linear compact operators acting in a complex Hilbert space to have the spectrum outside a prescribed closed convex subset of the complex plane.

Słowa kluczowe

EN

compact operator; extreme points; perturbation of the spectrum

PL

operator zwarty; punkty ekstremalne; perturbacja widma

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2010
• Tom: Vol. 16, nr 2
• Strony: 259--264
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Pham K. A.

autor

Nguyen X. T.

• Department of Mathematics, Vietnam National University, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam

Bibliografia

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• [4] T. Kato, Pertubation Theory for Linear Operators, Springer Verlag, Berlin, Heidelberg, New York, 1980.
• [5] S. G. Krein et al., Functional Analysis, Nauka, Moscow, 1972 (in Russian).
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• [7] B. N. Pshenichny and Yu.M. Danilin, Numerical Methods in Extremal Problems, Mir Publishers, Moscow, 1978.
• [8] V. A. Toponogov, Differential Geometry of Curves and Surfaces, Birkhauser, 2005.