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Triangular extension spectrum of weighted shifts
Author(s):
Zhidong
Pan
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3293-3298.
MSC (1991):
Primary 47A15, 47A45, 47C05
MathSciNet review:
1476383
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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:
- [HLP]
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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
DOI:
10.1090/S0002-9939-98-04692-9
PII:
S 0002-9939(98)04692-9
Keywords:
Operator,
triangular,
semitriangular,
extension,
spectrum
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 of article:
Copyright
1998,
American Mathematical Society
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