Spectra of approximating operators
Mathematica Applicanda, Tome 24 (1995) no. 38, pp. 87-100.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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.
DOI : 10.14708/ma.v24i38.1836
Classification : 47A58 (47A55)
Mots-clés : Operator approximation theory, Perturbation theory
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Andrzej Pokrzywa. Spectra of approximating operators. Mathematica Applicanda, Tome 24 (1995) no. 38, pp.  87-100. doi : 10.14708/ma.v24i38.1836. http://geodesic.mathdoc.fr/articles/10.14708/ma.v24i38.1836/

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