Some remarks on spectral approximation for compact operators

K. Moszyński; A. Pokrzywa

Mathematica Applicanda (1978)

  • Volume: 6, Issue: 12
  • ISSN: 1730-2668

Abstract

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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.

How to cite

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K. Moszyński, and A. Pokrzywa. "Some remarks on spectral approximation for compact operators." Mathematica Applicanda 6.12 (1978): null. <http://eudml.org/doc/292584>.

@article{K1978,
abstract = {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.},
author = {K. Moszyński, A. Pokrzywa},
journal = {Mathematica Applicanda},
keywords = {Compact operators,Riesz operators,quations and inequalities involving linear operators, with vector unknowns,Equations with linear operators},
language = {eng},
number = {12},
pages = {null},
title = {Some remarks on spectral approximation for compact operators},
url = {http://eudml.org/doc/292584},
volume = {6},
year = {1978},
}

TY - JOUR
AU - K. Moszyński
AU - A. Pokrzywa
TI - Some remarks on spectral approximation for compact operators
JO - Mathematica Applicanda
PY - 1978
VL - 6
IS - 12
SP - null
AB - 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.
LA - eng
KW - Compact operators,Riesz operators,quations and inequalities involving linear operators, with vector unknowns,Equations with linear operators
UR - http://eudml.org/doc/292584
ER -

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