Bounded Reflexivity of Operator Subspaces II |
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| Authors: | Don Hadwin Jiankui Li Zhidong Pan |
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| Affiliation: | (1) Department of Mathematics, University of New Hampshire, Durham, NH 03824, USA;(2) Department of Pure Mathematics, East China University of Science and Technology, Shanghai, 200237, P.R. China;(3) Department of Mathematics, Saginaw Valley State University, University Center, MI 48710, USA |
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| Abstract: | ![]()
Several classes of operators are shown to be boundedly reflexive; including bilateral operator-weighted shifts, weak contractions, and operators of class (SM). The commutants of many of these operators are shown to be boundedly reflexive. We also show that symmetric pattern subspaces with constant main diagonals are boundedly reflexive, and we provide some necessary and sufficient conditions for  to be boundedly reflexive. |
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| Keywords: | Mathematics Subject Classification (2000). Primary 47L30 47L75 |
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