Geodesic
Some remarks on spectral approximation for compact operators
Mathematica Applicanda, Tome 6 (1978) no. 12, pp. 5-16.

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

Finite-dimensional approximations for linear compact operators are constructed by discretization of the underlying Banach space. Sufficient conditions for strong convergence of the finite-dimensional operators to the given compact operator and for their collective compactness are obtained. In particular, the finite-dimensional approximation of the pencil A−λJ:H→V is considered, where H,V are Banach spaces, A is an invertible and J a compact operator.
DOI : 10.14708/ma.v6i12.1316
Classification : 47B05(47A50 65J10)
Mots-clés : Compact operators,Riesz operators,quations and inequalities involving linear operators, with vector unknowns,Equations with linear operators 
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K. Moszyński; A. Pokrzywa. Some remarks on spectral approximation for compact operators. Mathematica Applicanda, Tome 6 (1978) no. 12, pp.  5-16. doi : 10.14708/ma.v6i12.1316. http://geodesic.mathdoc.fr/articles/10.14708/ma.v6i12.1316/

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