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Some Notes on M-hyponormal weighted shifts and hyponormalizable weighted shifts
Ge Bin 1 *,Zhou Qingmei 2
1.Department of mathematics, Harbin Engineering University, Harbin 150001
2.Library, Northeast Forestry University, Harbin 150040
*Correspondence author
#Submitted by
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Funding: Supported by the National Science Fundation of China (No.No.11126286), the basis of the Fundamental Research Funds for the Central Universities(No.No. 2012)
Opened online: 5 July 2012
Accepted by: none
Citation: Ge Bin,Zhou Qingmei.Some Notes on M-hyponormal weighted shifts and hyponormalizable weighted shifts[OL]. [ 5 July 2012] http://en.paper.edu.cn/en_releasepaper/content/4483663
 
 
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.
Keywords:M-hyponormal; unilateral weighted shifts; spectralradius; positive operator
 
 
 

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