Subnormal shifts with operator-valued weights
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- by P. Ghatage PDF
- Proc. Amer. Math. Soc. 57 (1976), 107-108 Request permission
Abstract:
A criterion for a shift with operator-valued weights to be subnormal is given. From this a different proof of a theorem of Berger and Sarason is deduced.References
- Peter A. Fillmore, Notes on operator theory, Van Nostrand Reinhold Mathematical Studies, No. 30, Van Nostrand Reinhold Co., New York-London-Melbourne, 1970. MR 0257765
- P. R. Halmos, Ten problems in Hilbert space, Bull. Amer. Math. Soc. 76 (1970), 887–933. MR 270173, DOI 10.1090/S0002-9904-1970-12502-2
- R. Gellar and L. J. Wallen, Subnormal weighted shifts and the Halmos-Bram criterion, Proc. Japan Acad. 46 (1970), 375–378. MR 372672
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 57 (1976), 107-108
- DOI: https://doi.org/10.1090/S0002-9939-1976-0399931-7
- MathSciNet review: 0399931