The Theory of Operators with Dominant Main Diagonal. I.

The Theory of Operators with Dominant Main Diagonal. I. In this paper a characterization of the symmetric operators on a finite dimensional Hilbert space which have a matrix representation with a dominant diagonal with respect to any orthonormal basis are obtained. The set of such operators is a solid, reproducing, normal and acute cone in the space of symmetric operators. These results are applied to localizing the spectrum of operators pencils. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

The Theory of Operators with Dominant Main Diagonal. I.

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 1998 by Kluwer Academic Publishers
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1023/A:1009703326684
Publisher site
See Article on Publisher Site

References

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