Spectra of conservative matrices-Reference-Cited by-同舟云学术

Spectra of conservative matrices

Published:1972 Issue:2 Volume:35 Page:515-518
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Sharma N. K.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1972-035-02/S0002-9939-1972-0306769-1/S0002-9939-1972-0306769-1.pdf

Reference5 articles.

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2. Some structural properties of Hausdorff matrices;Rhoades, B. E.;Bull. Amer. Math. Soc.,1959

3. Triangular summability methods and the boundary of the maximal group;Rhoades, B. E.;Math. Z.,1968

4. Banach algebra and summability;Wilansky, Albert;Illinois J. Math.,1958

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1. Positioning matrices with respect to the boundary of the maximal group;Bulletin of the Australian Mathematical Society;1986-02

2. Bibliography;Summability through Functional Analysis;1984

3. The Banach algebra of conservative triangular matrices;Mathematische Zeitschrift;1982-12