A class of nonlinear equations in Hilbert space and its application to completeness problems

Hasanov, M.

doi:10.1016/j.jmaa.2006.06.017

A class of nonlinear equations in Hilbert space and its application to completeness problems

Atıf İçin Kopyala

Hasanov M.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.328, sa.2, ss.1487-1494, 2007 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 328 Sayı: 2
Basım Tarihi: 2007
Doi Numarası: 10.1016/j.jmaa.2006.06.017
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1487-1494
İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

Nonlinear equations arising in the spectral theory of self-adjoint operator functions and related completeness problems for eigenvectors are studied. A separation theorem about the values of the Rayleigh functional on solutions of a nonlinear equation is proved. This theorem is used, as a new approach to establish completeness of eigenvectors for some classes of self-adjoint operator functions. Examples from matrix pencils are given. (c) 2006 Elsevier Inc. All rights reserved.