Discrete spectra for some complex infinite band matrices

• Autorzy: Malejki Maria

Identyfikatory

DOI

10.7494/OpMath.2021.41.6.861

• Języki publikacji: EN

Abstrakty

EN

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 [formula] where [formula] 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 σ (A) ⊂ Λ (A) or Λ(A) ) ⊂ σ (A) to be satisfied for the band operator A.

Słowa kluczowe

EN

unbounded operator; band-type matrix; complex tridiagonal matrix; discrete spectrum; eigenvalue; limit points of eigenvalues

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2021
• Tom: Vol. 41, no. 6
• Strony: 861--879
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Malejki Maria

• AGH University of Science and Technology Faculty of Applied Mathematics al. Mickiewicza 30, 30-059 Kraków, Poland

• https://orcid.org/0000-0001-9133-9605

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).