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Subnormality and Compactness Characterizations of Toeplitz Operators in Algebra of Fock Spaces

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dc.contributor.author Taha, Khdija Osman Alzebir
dc.contributor.author Supervisor, - Shawgy Hussein Abd Alla
dc.date.accessioned 2017-12-05T11:44:39Z
dc.date.available 2017-12-05T11:44:39Z
dc.date.issued 2017-01-10
dc.identifier.citation Taha, Khdija Osman Alzebir . Subnormality and Compactness Characterizations of Toeplitz Operators in Algebra of Fock Spaces / Khdija Osman Alzebir Taha ; Shawgy Hussein Abd Alla .- Khartoum: Sudan University of Science and Technology, college of Science, 2017 .- 258p. :ill. ;28cm .- PhD. en_US
dc.identifier.uri http://repository.sustech.edu/handle/123456789/19273
dc.description Thesis en_US
dc.description.abstract We study subnormal and hyponormal Toeplitz operators with extremal problems of Hardy spaces. The compact Toeplitz operators by the Berezin transform on bounded symmetric domains, heat flow and bounded mean oscillation are shown. We determine which subnormal Toeplitz operators are either normal or analytic and the Kernels of their Self – Commutators. We obtain the gap between subnormality and hypnormality for block Toeplitz operators with spectra and quasinormal Toeplitz operators. The Toeplitz operators with bounded mean oscillation symbols on the Segal – Baragmann space, Fock space and compactness characterizations of operators in the Toeplitz algebra of the Fock space are discussed. en_US
dc.description.sponsorship Sudan University of Science and Technology en_US
dc.language.iso en en_US
dc.publisher Sudan University of Science and Technology en_US
dc.subject Mathematics en_US
dc.subject Fock Spaces en_US
dc.subject Compactness Characterizations en_US
dc.subject Algebra en_US
dc.title Subnormality and Compactness Characterizations of Toeplitz Operators in Algebra of Fock Spaces en_US
dc.title.alternative تحت الناظمية وتشخيصات التراص لمؤثرات تبوليتز في جبر فضاءات فوك en_US
dc.type Thesis en_US


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