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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.
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Tom
Strony
87--100
Opis fizyczny
Bibliogr. 3 poz.
Twórcy
autor
- 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.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-f0d458f7-07a8-46a6-8fa0-73a0997cbcbc