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An eigenvalue multiplicity formula for the Schur complement of a 3 x 3 block operator matrix

Muminov, M. E. and Rasulov, T. Kh. (2015) An eigenvalue multiplicity formula for the Schur complement of a 3 x 3 block operator matrix. Siberian Mathematical Journal, 56 (4). pp. 699-713. ISSN 0369-8203

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Official URL: http://dx.doi.org/10.1134/S0037446615040126

Abstract

We consider the Schur complement S(λ) with real spectral parameter λ corresponding to a certain 3 × 3 block operator matrix. In our case the essential spectrum of S(λ) can have gaps. We obtain formulas for the number and multiplicities of eigenvalues belonging to an arbitrary interval outside the essential spectrum of S(λ).

Item Type:Article
Uncontrolled Keywords:Schur complement, bosonic Fock space, block operator matrix
Subjects:T Technology > T Technology (General)
Divisions:Malaysia-Japan International Institute of Technology
ID Code:57750
Deposited By: Haliza Zainal
Deposited On:04 Dec 2016 04:07
Last Modified:07 Nov 2021 06:20

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