Unconditional basic sequence in ![]() -stability |
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| Authors: | Lihua Yang |
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| Institution: | Department of Scientific Computing and Computer Applications, Zhongshan University, 510275, People's Republic of China - Institute of Mathematics, Academy Sinica, Beijing, 100080, People's Republic of China |
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| Abstract: | This paper is concerned with unconditional basic sequences in  . We prove that, under some conditions, a sequence in  is a bounded unconditional basic sequence if and only if it is  -stable. At last the results are applied to the shift-invariant basic sequences generated by a finite subset of  , which is very important in wavelet analysis. |
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| Keywords: | Unconditional basic sequence $l^p$-stability wavelet analysis |
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