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Spectral inequalities for compact integral operators on Banach function spaces

Published online by Cambridge University Press:  24 October 2008

Roman Drnovšek
Roman Drnovšek
Affiliation:
Institute of Mathematics, Physics and Mechanics, Jadranska 19, 61111 Ljubljana, Slovenia
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Abstract

This article generalizes some spectral inequalities for non-negative matrices (see [2] and [3]) to compact integral operators with non-negative kernels defined on Banach function spaces. The spectral radius of a sum of such operators is estimated under certain conditions and a generalization of this inequality is given. An inequality for the spectral radius of a compact integral operator with the kernel equal to a weighted geometric mean of non-negative kernels is also proved.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 3 , November 1992 , pp. 589 - 598
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

REFERENCES

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