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A Krein-like Formula for Singular Perturbations of Self-Adjoint Operators and Applications

✍ Scribed by Andrea Posilicano

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
258 KB
Volume
183
Category
Article
ISSN
0022-1236

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πŸ“œ SIMILAR VOLUMES

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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