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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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.

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Triangular extension spectrum of weighted shifts
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by Zhidong Pan PDF
Proc. Amer. Math. Soc. 126 (1998), 3293-3298 Request permission

Abstract:

A necessary and sufficient condition for a complex number to be in the triangular extension spectrum of a weighted backward shift is obtained. It is shown that the triangular extension spectrum of a weighted backward shift is always a closed annulus when it is not empty. Moreover, for any given closed annulus, there exists a weighted backward shift with the annulus as its triangular extension spectrum.
References
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Additional Information
  • Zhidong Pan
  • Affiliation: Department of Mathematics, Saginaw Valley State University, University Center, Michigan 48710
  • Email: pan@tardis.svsu.edu
  • Additional Notes: This work was supported in part by a research release time award from Saginaw Valley State University
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 3293-3298
  • MSC (1991): Primary 47A15, 47A45, 47C05
  • DOI: https://doi.org/10.1090/S0002-9939-98-04692-9
  • MathSciNet review: 1476383