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1. Fixed points of operators without increasing property with applications to nonlinear integral equations | |||
ZHAO Zengqin,LIN Xiuli | |||
Mathematics 20 April 2017 | |||
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Abstract:By using the cone theory, it is studied that existence of fixed points of operator $A$ without increasing property. The operator $A$ lies between operators $B_1$ and $B_2$, where $B_1, B_2$ have some increasing property. We obtain the existence of fixed points of the operator $A$ and the interval containing the fixed points. Lastly, the results are applied to a class of nonlinear integral equations. | |||
TO cite this article:ZHAO Zengqin,LIN Xiuli. Fixed points of operators without increasing property with applications to nonlinear integral equations[OL].[20 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4727227 |
2. Some Notes on M-hyponormal weighted shifts and hyponormalizable weighted shifts | |||
Ge Bin,Zhou Qingmei | |||
Mathematics 29 June 2012 | |||
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Abstract:Let {an}∞n=0 be a weight sequence and let W denotethe associated unilateral weighted shift on H. In this paper, weconsider the connection between the M-hyponormal andhyponormalizable weighted shifts operators. Main results areTheorems 4.1 and Theorems 4.2. Theorem 4.1 is the sufficientcondition when a weighted shifts M-hyponormal operator becomehyponormalizable. Theorem 4.2 is the sufficient condition when aweighted shifts hyponormalizable operator become M-hyponormal.Finally, invariant subspaces of such operators are discussed. | |||
TO cite this article:Ge Bin,Zhou Qingmei. Some Notes on M-hyponormal weighted shifts and hyponormalizable weighted shifts[J]. |
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