The Norm and Modulus of a Foguel Operator

Authors

Stephan Ramon Garcia, Pomona CollegeFollow

Document Type

Article - preprint

Department

Mathematics (Pomona)

Publication Date

2009

Keywords

Foguel operator

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.

Comments

Pre-print from http://arxiv.org/abs/0908.0479

Final publication can be found at:

Garcia, S.R., The norm and modulus of a Foguel operator, Indiana Univ. Math. J., 58 (2009), No. 5, 2305–2316. MR2583501 (2010k:47025). http://www.iumj.indiana.edu/oai/2009/58/3735/3735.xml

Rights Information

© 2009 Indiana University Mathematics Journal

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Garcia, Stephan Ramon, "The Norm and Modulus of a Foguel Operator" (2009). Pomona Faculty Publications and Research. 248.
https://scholarship.claremont.edu/pomona_fac_pub/248