English

A Note on the Norm and Spectrum of a Foguel Operator

Functional Analysis 2012-06-29 v1

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.

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Cite

@article{arxiv.1206.6725,
  title  = {A Note on the Norm and Spectrum of a Foguel Operator},
  author = {Mrinal Raghupathi},
  journal= {arXiv preprint arXiv:1206.6725},
  year   = {2012}
}

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5 pages