Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

On the twenty-ninth question of Allen Shields


Author: Joseph G. Stampfli
Journal: Proc. Amer. Math. Soc. 66 (1977), 65-68
MSC: Primary 47B20
DOI: https://doi.org/10.1090/S0002-9939-1977-0458226-4
MathSciNet review: 0458226
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Not every hyponormal weighted shift is the sum of a subnormal weighted shift (in the same basis) and a trace class operator.


References [Enhancements On Off] (What's this?)

  • [1] A. L. Shields, Weighted shift operators and analytic function theory, Topics in Operator Theory, Math. Surveys, no. 13, Amer. Math. Soc., Providence, R. I., 1974. MR 0361899 (50:14341)
  • [2] J. G. Stampfli, Which weighted shifts are subnormal?, Pacific J. Math. 17 (1966), 356-379. MR 0193520 (33:1740)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47B20

Retrieve articles in all journals with MSC: 47B20


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1977-0458226-4
Keywords: Subnormal, hyponormal, weighted shift, Schatten p-class
Article copyright: © Copyright 1977 American Mathematical Society

American Mathematical Society