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WEIGHTED L^P-STABILITY FOR LOCALIZED INFINITE MATRICES
| Title: | WEIGHTED L^P-STABILITY FOR LOCALIZED INFINITE MATRICES. |
 23 views 9 downloads |
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| Name(s): |
Shi, Qiling, Author Sun, Qiyu, Committee Chair University of Central Florida, Degree Grantor |
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| Type of Resource: | text | |
| Date Issued: | 2009 | |
| Publisher: | University of Central Florida | |
| Language(s): | English | |
| Abstract/Description: | This 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. | |
| Identifier: | CFE0002685 (IID), ucf:48238 (fedora) | |
| Note(s): |
2009-08-01 Ph.D. Sciences, Department of Mathematics Doctorate This record was generated from author submitted information. |
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| Subject(s): |
l^p-stability convolution operator infinite matrices |
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| Persistent Link to This Record: | http://purl.flvc.org/ucf/fd/CFE0002685 | |
| Restrictions on Access: | public | |
| Host Institution: | UCF |
