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- Title
DISCRETE SPECTRA FOR SOME COMPLEX INFINITE BAND MATRICES.
- Authors
Malejki, Maria
- Abstract
Under suitable assumptions the eigenvalues for an unbounded discrete operator A in l2, given by an infinite complex band-type matrix, are approximated by the eigenvalues of its orthogonal truncations. Let Λ(A) = {λ ∊ Limnλ=λn: λn is an eigenvalue of An for n = 1}, where Limnλ=λn is the set of all limit points of the sequence (λn) and An is a finite dimensional orthogonal truncation of A. The aim of this article is to provide the conditions that are sufficient for the relations s(A) σ(A) ⊂ Λ(A) or Λ(A) ⊂ σ(A) to be satisfied for the band operator A.
- Subjects
MATRICES (Mathematics); COMPLEX matrices; EIGENVALUES
- Publication
Opuscula Mathematica, 2021, Vol 41, Issue 6, p861
- ISSN
1232-9274
- Publication type
Article
- DOI
10.7494/OpMath.2021.41.6.861