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On an estimate of the eigenvalues for an infinite-dimensional matrix and its application to the problem of the completeness of an eigenvector system of a completely continuous operator

✍ Scribed by V.A. Strauss

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 837 KB
Volume: 274
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)00247-4

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✦ Synopsis

We consider spectral properties of several infinite-dimensional matrices and show that matrices of this type can be used as a representative model for the Gram operator of a sesquilinear form. The representation is applied to the study of the completeness problem of an eigenvector system for a G-self-adjoint operator.

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