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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Spectra of conservative matrices


Author: N. K. Sharma
Journal: Proc. Amer. Math. Soc. 35 (1972), 515-518
MSC: Primary 40H05
DOI: https://doi.org/10.1090/S0002-9939-1972-0306769-1
MathSciNet review: 0306769
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Abstract: In this paper we study the spectra of conservative matrices and show that the spectrum of any Hausdorff method is either uncountable or finite. In the latter case it is shown that the spectrum consists of either one point or two points. We obtain the snarpest possible Mercerian theorem for Euler methods. We also get some results about the location of conservative matrices with respect to the maximal group of invertible operators.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0306769-1
Article copyright: © Copyright 1972 American Mathematical Society