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WEIGHTED L^P-STABILITY FOR LOCALIZED INFINITE MATRICES
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TitleWEIGHTED L^P-STABILITY FOR LOCALIZED INFINITE MATRICES
AuthorShi, Qiling
Keywordsl^p-stability
convolution operator
infinite matrices
AbstractThis dissertation originates from a classical result that the l^p-stability of the convolution operator associated with a summable sequence are equivalent to each other for different p. This dissertation is motivated by the recent result by C. E. Shin and Q. Sun (Journal ofFunctional Analysis, 256(2009), 2417�2439), where the l^p-stability of infinite matrices in the Gohberg-Baskakov-Sjostrand class are proved to be equivalent to each other for different p. In the dissertation, for an infinite matrix having certain off-diagonal decay, its weighted l^p-stability for different p are proved to be equivalent to each other and hence a result by Shin and Sun is generalized.
AdviserSun, Qiyu
PublisherUniversity of Central Florida
DegreePh.D.
Degree DisciplineDepartment of Mathematics
Degree GrantorSciences
Degree ProgramMathematics PhD
Graduation Date2009-01-01
TypeDoctoral dissertation
Access LevelPublic - Allow Worldwide Access
Release Date2009-09-18
RepositoryUniversity Archives
Repository CollectionElectronic Theses and Dissertations
IdentifierCFE0002685
Access Linkhttp://purl.fcla.edu/fcla/etd/CFE0002685

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