Mathematics – Functional Analysis
Scientific paper
2009-08-04
Indiana Univ. Math. J. 58 (2009), No. 5, 2305--2316.
Mathematics
Functional Analysis
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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