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Fine Spectra of Tridiagonal Symmetric Matrices

Fine spectra of tridiagonal symmetric matrices
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 English Publisher:WileyJournal:International Journal of Mathematics and Mathematical Sciences, volume 2,011 (issn: 0161-1712, eissn: 1687-0425, Copyright policy )
Authors: Muhammed Altun;

doi: 10.1155/2011/161209

Fine Spectra of Tridiagonal Symmetric Matrices

Abstract

The fine spectra of upper and lower triangular banded matrices were examined by several authors. Here we determine the fine spectra of tridiagonal symmetric infinite matrices and also give the explicit form of the resolvent operator for the sequence spaces c0, c, ℓ1, and ℓ∞.

Keywords

Eigenvalues, singular values, and eigenvectors, tridiagonal symmetric infinite matrices, QA1-939, Hermitian, skew-Hermitian, and related matrices, resolvent operator, Mathematics, fine spectra

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    		 9
    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Average
Average
gold