The norm and modulus of a Foguel operator
Functional Analysis
2010-03-16 v2
Abstract
We develop a method for calculating the norm and the spectrum of the modulus of a Foguel operator. In many cases, the norm can be computed exactly. In others, sharp upper bounds are obtained. In particular, we observe several connections between Foguel operators and the Golden Ratio.
Cite
@article{arxiv.0908.0479,
title = {The norm and modulus of a Foguel operator},
author = {Stephan Ramon Garcia},
journal= {arXiv preprint arXiv:0908.0479},
year = {2010}
}
Comments
10 pages, 1 figure. To appear in Indiana Univ. Math. J