The norm and modulus of a 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.

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

References in corpus (1)

• A polynomially bounded operator on Hilbert space which is not similar to a contraction

Cited by in corpus (2)

• Mathematical and physical aspects of complex symmetric operators
• A Note on the Norm and Spectrum of a Foguel Operator