On the Eigenvalues of a 2 × 2 Block Operator Matrix

  • Mukhiddin I. Muminov
  • Published 2014
Abstract. A 2×2 block operator matrix H acting in the direct sum of oneand two-particle subspaces of a Fock space is considered. The existence of infinitely many negative eigenvalues of H22 (the second diagonal entry of H) is proved for the case where both of the associated Friedrichs models have a zero energy resonance. For the number N(z) of eigenvalues… (More)