Subnormality of Bergman-like weighted shifts
Subnormality of Bergman-like weighted shifts
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DOI：
10.1016/j.jmaa.2005.01.028
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发表时间：
2005-08
影响因子：
1.3
通讯作者：
R. Curto;Y. Poon;Jasang Yoon
中科院分区：
文献类型：
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作者：
R. Curto;Y. Poon;Jasang Yoon
For a,b,c,d⩾0 with ad−bc>0, we consider the unilateral weighted shift S(a,b,c,d) with weights αn:=an+bcn+d(n⩾0). Using Schur product techniques, we prove that S(a,b,c,d) is always subnormal; more generally, we establish that for every p⩾1, all p-subshifts of S(a,b,c,d) are subnormal. As a consequence, we show that all Bergman-like weighted shifts are subnormal.
