On spectra of Hankel operators on the polydisc
Zeljko Cuckovic, Zhenghui Huo, Sonmez Sahutoglu
TL;DR
This paper investigates the spectral properties of Hankel operators on the polydisc, providing conditions for their essential spectrum to include intervals and explicitly computing the spectrum for monomial symbols.
Contribution
It offers new criteria for the essential spectrum of Hankel operators on the polydisc and explicitly determines the spectrum for monomial symbols, advancing spectral theory in several complex variables.
Findings
Essential spectrum contains intervals under certain conditions.
Spectrum computed explicitly for monomial symbols.
Provides new spectral criteria for Hankel operators.
Abstract
We give sufficient conditions for the essential spectrum of the Hermitian square of a class of Hankel operators on the Bergman space of the polydisc to contain intervals. We also compute the spectrum in case the symbol is a monomial.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Algebraic and Geometric Analysis