TO THE SPECTRAL THEORY OF DISCRETE HAUSDORFF OPERATORS
نویسندگان
چکیده
We show that under an arithmetic condition the spectrum of a bounded multidimensional discrete Hausdorff operator in Lebesgue space is annulus (or disc) centered at origin, provided perturbation matrices commute and are either positive or negative definite. Conditions for point such to be empty given its norm computed.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2023
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-023-06259-7