Keywords
l^p-stability, convolution operator, infinite matrices
Abstract
This dissertation originates from a classical result that the lp-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 lp-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 lp-stability for different p are proved to be equivalent to each other and hence a result by Shin and Sun is generalized.
Notes
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Graduation Date
2009
Advisor
Sun, Qiyu
Degree
Doctor of Philosophy (Ph.D.)
College
College of Sciences
Department
Mathematics
Degree Program
Mathematics
Format
application/pdf
Identifier
CFE0002685
URL
http://purl.fcla.edu/fcla/etd/CFE0002685
Language
English
Release Date
September 2009
Length of Campus-only Access
None
Access Status
Doctoral Dissertation (Open Access)
STARS Citation
Shi, Qiling, "Weighted Lp-stability For Localized Infinite Matrices" (2009). Electronic Theses and Dissertations. 3924.
https://stars.library.ucf.edu/etd/3924