Journal article
Subnormality of Bergman-like weighted shifts
Journal of mathematical analysis and applications, Vol.308(1), pp.334-342
2005
DOI: 10.1016/j.jmaa.2005.01.028
Abstract
For a , b , c , d ⩾ 0 with a d − b c > 0 , we consider the unilateral weighted shift S ( a , b , c , d ) with weights α n : = a n + b c n + 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.
Details
- Title: Subtitle
- Subnormality of Bergman-like weighted shifts
- Creators
- Raúl E Curto - Department of Mathematics, The University of Iowa, Iowa City, IA 52242, USAYiu T Poon - Department of Mathematics, Iowa State University, Ames, IA 50011, USAJasang Yoon - Department of Mathematics, Iowa State University, Ames, IA 50011, USA
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical analysis and applications, Vol.308(1), pp.334-342
- DOI
- 10.1016/j.jmaa.2005.01.028
- ISSN
- 0022-247X
- eISSN
- 1096-0813
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 2005
- Academic Unit
- Mathematics
- Record Identifier
- 9983985984302771
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