Spectra of approximating operators

• Autorzy: Pokrzywa Andrzej

Identyfikatory

DOI

10.14708/ma.v24i38.1836

• Języki publikacji: EN

Abstrakty

EN

This is an interesting expository article about the approximation of operators on a complex infinite-dimensional Hilbert space. Although the article does not include research published during the past twenty years or so, it provides a nice account of the stability of the spectrum under approximation (or perturbation). The reader interested in pursuing this area of research might refer to the bibliography in [D. A. Herrero, Approximation of Hilbert space operators. Vol. I, Pitman, Boston, MA, 1982; MR0676127] and the subsequent publications of those authors.

Słowa kluczowe

EN

operator approximation theory; perturbation theory

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Matematyka Stosowana : matematyka dla społeczeństwa
• Rocznik: 1995
• Tom: Nr 38
• Strony: 87--100
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Pokrzywa Andrzej

• Institute of Mathematics Polish Academy of Sciences, 00-950 Warszawa, P.O .B. 137 UL. Śniadeckich 8

Bibliografia

• [1] C. Apostoł, The correction by compact, perturbation of the singular behavior of operators, Rev. Roumaine Math. Pura. Appl. 21. (1976), pp. 155-175.
• [2] C. Apostoł, D. Herrero and D. Voiculescu, The closure of the similarity orbit of a Hilbert space operator, Bull. AMS, Vol. 6. No 3, (1982), pp. 421-426.
• [3] T. Kato, Perturbation Theory for Linear Operators, Springer Verlag.