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REGULARIZED TRACE ON SEPARABLE BANACH SPACES

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dc.contributor.authorGul, E.
dc.contributor.authorGill, T. L.
dc.date.accessioned2026-06-27T14:54:31Z
dc.date.issued2023
dc.description.abstractIf H is a separable Hilbert space, Gul (2008) has shown that a regularized trace formula can be computed on L-2 (H, [0, pi]) for a second order differential operator with bounded operator-valued coefficients, where H is a separable Hilbert space. Kuelbs (1970) has shown that every separable Banach space can be continuously and densely embedded into a separable Hilbert space, while Gill (2016) has used Kuelbs result to show that the dual of a Banach space does not have a unique representation. In this paper, we use the results of Kuelbs and Gill to study the regularized trace formula on L-2 (B, [0, pi]), where B is an arbitrary separable Banach space.en
dc.description.sponsorshipNational Science Foundation [DMS-1440140]
dc.description.sponsorshipNational Security Agency [H98230-20-1-0015]
dc.description.sponsorshipSloan Grant [G-2020-12602]
dc.identifier.endpage151
dc.identifier.issn2146-1147
dc.identifier.issue1
dc.identifier.startpage143
dc.identifier.urihttps://hdl.handle.net/20.500.14981/66073
dc.identifier.volume13
dc.identifier.wos001053880100014
dc.language.isoeng
dc.publisherTURKIC WORLD MATHEMATICAL SOC
dc.relation.ispartofTWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
dc.subjectDual space
dc.subjectadjoint operator
dc.subjectSchatten classes
dc.subjectregularized trace formula
dc.subjectMathematics
dc.titleREGULARIZED TRACE ON SEPARABLE BANACH SPACES
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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