Boundedly pseudo-amenable and boundedly pseudo-contractible Banach algebras

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dc.contributor.authorWong, Landis
dc.contributor.examiningcommitteePrymak, Andriy (Mathematics)en_US
dc.contributor.examiningcommitteeMartin, Robert (Mathematics)en_US
dc.contributor.supervisorZhang, Yong (Mathematics)en_US
dc.date.accessioned2020-02-26T20:42:13Z
dc.date.available2020-02-26T20:42:13Z
dc.date.copyright2020-02-26
dc.date.issued2020-01-08en_US
dc.date.submitted2020-01-09T01:18:35Zen
dc.date.submitted2020-02-26T16:47:36Zen_US
dc.degree.disciplineMathematicsen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractIn this thesis we will study the notions of bounded pseudo-amenability and bounded pseudo-contractibility for a Banach algebra, where we require a Banach algebra to possess a multiplier bounded approximate diagonal or a multiplier bounded central approximate diagonal. We will investigate various properties of these types of Banach algebras, including: l^p-direct sums, relationships to unitizations, hereditary properties on ideal and quotient subalgebras, connections to other generalized notions of amenability, and projective tensor products of these Banach algebras. We will also provide some examples of boundedly pseudo-amenable and boundedly pseudo-contractible Banach algebras.en_US
dc.description.noteMay 2020en_US
dc.identifier.urihttp://hdl.handle.net/1993/34550
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectMathematicsen_US
dc.subjectFunctional analysisen_US
dc.subjectAmenabilityen_US
dc.subjectContractibilityen_US
dc.subjectBanach algebrasen_US
dc.subjectBounded pseudo-amenabilityen_US
dc.subjectBounded pseudo-contractibilityen_US
dc.titleBoundedly pseudo-amenable and boundedly pseudo-contractible Banach algebrasen_US
dc.typemaster thesisen_US
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