μ-Hankel operators on Hilbert spaces

A class of operators is introduced (\(\mu\)-Hankel operators, \(\mu\) is a complex parameter), which generalizes the class of Hankel operators. Criteria for boundedness, compactness, nuclearity, and finite dimensionality are obtained for operators of this class, and for the case \(|\mu| = 1\) their...

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Autores principales:	Adolf Mirotin, Ekaterina Kuzmenkova
Formato:	article
Lenguaje:	EN
Publicado:	AGH Univeristy of Science and Technology Press 2021
Materias:	hankel operator \(\mu\)-hankel operator hardy space integral representation nuclear operator integral operator Applied mathematics. Quantitative methods T57-57.97
Acceso en línea:	https://doi.org/10.7494/OpMath.2021.41.6.881 https://doaj.org/article/1a207886d39d4a2b8a2e355256e807de
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spelling	oai:doaj.org-article:1a207886d39d4a2b8a2e355256e807de2021-11-29T22:51:49Zμ-Hankel operators on Hilbert spaces1232-9274https://doi.org/10.7494/OpMath.2021.41.6.881https://doaj.org/article/1a207886d39d4a2b8a2e355256e807de2021-11-01T00:00:00Zhttps://www.opuscula.agh.edu.pl/vol41/6/art/opuscula_math_4142.pdfhttps://doaj.org/toc/1232-9274A class of operators is introduced (\(\mu\)-Hankel operators, \(\mu\) is a complex parameter), which generalizes the class of Hankel operators. Criteria for boundedness, compactness, nuclearity, and finite dimensionality are obtained for operators of this class, and for the case \(\|\mu\| = 1\) their description in the Hardy space is given. Integral representations of \(\mu\)-Hankel operators on the unit disk and on the Semi-Axis are also considered.Adolf MirotinEkaterina KuzmenkovaAGH Univeristy of Science and Technology Pressarticlehankel operator\(\mu\)-hankel operatorhardy spaceintegral representationnuclear operatorintegral operatorApplied mathematics. Quantitative methodsT57-57.97ENOpuscula Mathematica, Vol 41, Iss 6, Pp 881-898 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	hankel operator \(\mu\)-hankel operator hardy space integral representation nuclear operator integral operator Applied mathematics. Quantitative methods T57-57.97
spellingShingle	hankel operator \(\mu\)-hankel operator hardy space integral representation nuclear operator integral operator Applied mathematics. Quantitative methods T57-57.97 Adolf Mirotin Ekaterina Kuzmenkova μ-Hankel operators on Hilbert spaces
description	A class of operators is introduced (\(\mu\)-Hankel operators, \(\mu\) is a complex parameter), which generalizes the class of Hankel operators. Criteria for boundedness, compactness, nuclearity, and finite dimensionality are obtained for operators of this class, and for the case \(\|\mu\| = 1\) their description in the Hardy space is given. Integral representations of \(\mu\)-Hankel operators on the unit disk and on the Semi-Axis are also considered.
format	article
author	Adolf Mirotin Ekaterina Kuzmenkova
author_facet	Adolf Mirotin Ekaterina Kuzmenkova
author_sort	Adolf Mirotin
title	μ-Hankel operators on Hilbert spaces
title_short	μ-Hankel operators on Hilbert spaces
title_full	μ-Hankel operators on Hilbert spaces
title_fullStr	μ-Hankel operators on Hilbert spaces
title_full_unstemmed	μ-Hankel operators on Hilbert spaces
title_sort	μ-hankel operators on hilbert spaces
publisher	AGH Univeristy of Science and Technology Press
publishDate	2021
url	https://doi.org/10.7494/OpMath.2021.41.6.881 https://doaj.org/article/1a207886d39d4a2b8a2e355256e807de
work_keys_str_mv	AT adolfmirotin mhankeloperatorsonhilbertspaces AT ekaterinakuzmenkova mhankeloperatorsonhilbertspaces
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μ-Hankel operators on Hilbert spaces

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