vix.ing · top · new · best · stats · spec

A Note on the Norm and Spectrum of a Foguel Operator

2012/06/28 by Mrinal Raghupathi, Raghupathi, Mrinal
Computer Science · Mathematics · #Advanced Topics in Algebra #Holomorphic and Operator Theory #Matrix Theory and Algorithms #math.FA #msc:47A10 #msc:47A30

paper · pdf · doi:10.48550/arxiv.1206.6725

5 pages

arxiv created 2012/06/28 · arxiv updated 2012/06/29

Abstract

We present two ways to compute the norm of a Foguel operator. One of these is algebraic and the other makes use of the Schur complement. This gives a two simpler proof of a result of Garcia. We also provide an extension of these results.

Related