Article

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

M. I. MuminovUniversity of Technology Malaysia, Skudai, MalaysiaTulkin H. RasulovBukhara State University, Bukhara, Uzbekistan

Siberian Mathematical Journaljournal2015en

ABI

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).

Topics

Spectral Theory in Mathematical Physics Matrix Theory and Algorithms Holomorphic and Operator Theory

Identifiers

DOI: 10.1134/s0037446615040126

Citations and references

Cited by 2 28 references

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