The norm and modulus of a Foguel operator

Mathematics – Functional Analysis

Scientific paper

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10 pages, 1 figure. To appear in Indiana Univ. Math. J

Scientific paper

10.1512/iumj.2009.58.3735

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.

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