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Generalized indefinite strings with purely discrete spectrum
chapter
posted on 2023-10-18, 10:13 authored by Jonathan EckhardtJonathan Eckhardt, Aleksey KostenkoWe establish criteria for the spectrum of a generalized indefinite string to be purely discrete and to satisfy Schatten–von Neumann properties. The results can be applied to the isospectral problem associated with the conservative Camassa–Holm flow and to Schrödinger operators with δ′ -interactions.
Funding
Austrian Science Fund (FWF) under Grants No. P30715 and I-4600
Slovenian Research Agency (ARRS) under Grant No. N1-0137
History
School
- Science
Department
- Mathematical Sciences
Published in
From Complex Analysis to Operator Theory: A PanoramaPages
435 - 474Publisher
BirkhäuserVersion
- AM (Accepted Manuscript)
Rights holder
© The Author(s), under exclusive license to Springer Nature Switzerland AGPublisher statement
This book chapter was accepted for publication in the book From Complex Analysis to Operator Theory: A Panorama [© The Author(s), under exclusive license to Springer Nature Switzerland AG]. The published version is available at: https://doi.org/10.1007/978-3-031-31139-0_16Publication date
2023-09-22Copyright date
2023ISBN
9783031311383; 9783031311390; 9783031311413Publisher version
Book series
Operator Theory: Advances and Applications; 291Language
- en
