# Some remarks on spectral approximation for compact operators

Mathematica Applicanda (1978)

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

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topK. 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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