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Operator calculus for some classes of non-self-adjoint operators

✍ Scribed by V. I. Gorbachuk; L. B. Fedorova

Book ID: 112478378
Publisher: Springer
Year: 1979
Tongue: English
Weight: 556 KB
Volume: 31
Category: Article
ISSN: 0041-5995
DOI: 10.1007/bf01086001

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## Abstract In 1980, Gasymov showed that non‐self‐adjoint Hill operators with complex‐valued periodic potentials of the type $ V(x) = \sum ^{\infty} \_{k=1} a\_{k} e^{ikx} $, with $ \sum ^{\infty} \_{k=1} \vert a\_{k} \vert < \infty $, have spectra [0, ∞). In this note, we provide an alternative an