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Properties of a class of non-self-adjoint operators

✍ Scribed by Ya. V. Mikityuk

Publisher
Springer US
Year
1982
Tongue
English
Weight
218 KB
Volume
15
Category
Article
ISSN
0016-2663

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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