Spectral Radii of Bounded Operators on Topological Vector Spaces

Details Spectral Radii of Bounded Operators on Topological Vector Spaces Spectral Radii of Bounded Operators on Topological Vector Spaces

2000-04-08

arxiv.org/abs/math/0004049v1

Mathematics

Functional Analysis

36 pages

Scientific paper

In this paper we develop a version of spectral theory for bounded linear operators on topological vector spaces. We show that the Gelfand formula for spectral radius and Neumann series can still be naturally interpreted for operators on topological vector spaces. Of course, the resulting theory has many similarities to the conventional spectral theory of bounded operators on Banach spaces, though there are several important differences. The main difference is that an operator on a topological vector space has several spectra and several spectral radii, which fit a well-organized pattern.

Affiliated with

Also associated with

No associations

Rating

Spectral Radii of Bounded Operators on Topological Vector Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spectral Radii of Bounded Operators on Topological Vector Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral Radii of Bounded Operators on Topological Vector Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-173011