Extending the formula to calculate the spectral radius of an operator-Reference-Cited by-同舟云学术

Extending the formula to calculate the spectral radius of an operator

Published:1998 Issue:1 Volume:126 Page:97-103
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bonales Fernando,Mendoza Rigoberto

Abstract

In a Banach space, Gelfand’s formula is used to find the spectral radius of a continuous linear operator. In this paper, we show another way to find the spectral radius of a bounded linear operator in a complete topological linear space. We also show that Gelfand’s formula holds in a more general setting if we generalize the definition of the norm for a bounded linear operator.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-01/S0002-9939-98-04430-X/S0002-9939-98-04430-X.pdf

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