On the eigenvalues of a 2ˣ2 block operator matrix

A \(2\times2\) block operator matrix \({\mathbf H}\) acting in the direct sum of one- and two-particle subspaces of a Fock space is considered. The existence of infinitely many negative eigenvalues of \(H_{22}\) (the second diagonal entry of \({\bf H}\)) is proved for the case where both of the asso...

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Bibliographic Details
Main Authors: Mukhiddin I. Muminov, Tulkin H. Rasulov
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2015-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol35/3/art/opuscula_math_3523.pdf