Subnormal shifts with operator-valued weights

Ghatage, P.

doi:10.1090/S0002-9939-1976-0399931-7

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Subnormal shifts with operator-valued weights
HTML articles powered by AMS MathViewer

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

Journal: Proc. Amer. Math. Soc. 57 (1976), 107-108
DOI: https://doi.org/10.1090/S0002-9939-1976-0399931-7
MathSciNet review: 0399931