Unbounded integral Hankel operators
Alexander Pushnitski, Sergei Treil
TL;DR
This paper proves the essential self-adjointness of a broad class of unbounded integral Hankel operators on the positive half-line, ensuring well-defined spectral properties for these operators.
Contribution
It establishes essential self-adjointness for unbounded integral Hankel operators, a significant extension in the spectral theory of such operators.
Findings
Essential self-adjointness proven for broad class of operators
Operators are defined on positive half-line
Results ensure well-posed spectral analysis
Abstract
For a wide class of unbounded integral Hankel operators on the positive half-line, we prove essential self-adjointness on the set of smooth compactly supported functions.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Matrix Theory and Algorithms · Holomorphic and Operator Theory