Symmetric anti-eigenvalue and symmetric anti-eigenvector

Sk M. Hossein; K. Paul; L. Debnath; K. C. Das

doi:10.1016/j.jmaa.2008.04.061

Symmetric anti-eigenvalue and symmetric anti-eigenvector

Sk M. Hossein
, K. Paul
, L. Debnath
, K. C. Das

Vidyasagar University
Jadavpur University
The University of Texas-Pan American

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The idea of symmetric anti-eigenvalue and symmetric anti-eigenvector of a bounded linear operator T on a Hilbert space H is introduced. The structure of symmetric anti-eigenvectors of a self-adjoint and certain classes of normal operators is found in terms of eigenvectors. The Kantorovich inequality for self-adjoint operators and bounds for symmetric anti-eigenvalues for certain classes of normal operators are also discussed.

Original language	English
Pages (from-to)	771-776
Number of pages	6
Journal	Journal of Mathematical Analysis and Applications
Volume	345
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2008.04.061
State	Published - 15 Sep 2008
Externally published	Yes

Keywords

Bounded linear operator
Normal operator
Self-adjoint operator
Symmetric anti-eigenvalues

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10.1016/j.jmaa.2008.04.061

Cite this

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abstract = "The idea of symmetric anti-eigenvalue and symmetric anti-eigenvector of a bounded linear operator T on a Hilbert space H is introduced. The structure of symmetric anti-eigenvectors of a self-adjoint and certain classes of normal operators is found in terms of eigenvectors. The Kantorovich inequality for self-adjoint operators and bounds for symmetric anti-eigenvalues for certain classes of normal operators are also discussed.",

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AU - Paul, K.

AU - Debnath, L.

AU - Das, K. C.

PY - 2008/9/15

Y1 - 2008/9/15

N2 - The idea of symmetric anti-eigenvalue and symmetric anti-eigenvector of a bounded linear operator T on a Hilbert space H is introduced. The structure of symmetric anti-eigenvectors of a self-adjoint and certain classes of normal operators is found in terms of eigenvectors. The Kantorovich inequality for self-adjoint operators and bounds for symmetric anti-eigenvalues for certain classes of normal operators are also discussed.

AB - The idea of symmetric anti-eigenvalue and symmetric anti-eigenvector of a bounded linear operator T on a Hilbert space H is introduced. The structure of symmetric anti-eigenvectors of a self-adjoint and certain classes of normal operators is found in terms of eigenvectors. The Kantorovich inequality for self-adjoint operators and bounds for symmetric anti-eigenvalues for certain classes of normal operators are also discussed.

KW - Bounded linear operator

KW - Normal operator

KW - Self-adjoint operator

KW - Symmetric anti-eigenvalues

UR - https://www.scopus.com/pages/publications/44649153728

U2 - 10.1016/j.jmaa.2008.04.061

DO - 10.1016/j.jmaa.2008.04.061

M3 - Article

AN - SCOPUS:44649153728

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VL - 345

SP - 771

EP - 776

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Symmetric anti-eigenvalue and symmetric anti-eigenvector

Abstract

Keywords

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