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The single-valued extension property for bilateral operator weighted shifts
Author(s):
A.
Bourhim;
C.
E.
Chidume
Journal:
Proc. Amer. Math. Soc.
133
(2005),
485-491.
MSC (2000):
Primary 47A10;
Secondary 47B20
Posted:
September 8, 2004
MathSciNet review:
2093072
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Abstract:
In this paper, we give necessary and sufficient conditions for a bilateral operator weighted shift to enjoy the single-valued extension property.
References:
-
- 1.
- P. Aiena, T. L. Miller and M. M. Neumann, On a localized single-valued extension property, Proc. Royal Irish Acad. (to appear).
- 2.
- P. Aiena and E. Rosas, Single-valued extension property at the points of the approximate point spectrum, J. Math. Anal. Appl. 279 (2003), no. 1, 180-188. MR 1970499
- 3.
- P. Aiena and O. Monsalve, Operators which do not have the single valued extension property, J. Math. Anal. Appl. 250 (2000), no. 2, 435-448. MR 1786074 (2001g:47005)
- 4.
- A. Ben-Artzi and I. Gohberg, Dichotomy, discrete Bohl exponents, and spectrum of block weighted shifts, Integral Equations and Operator Theory, 14 (1991) 613-677. MR 1118967 (93e:47033)
- 5.
- A. Bourhim, On the local spectral properties of weighted shift operators, (submitted).
- 6.
- I. Colojoara and C. Foias, Theory of generalized spectral operators, Gordon and Breach, New York 1968. MR 0394282 (52:15085)
- 7.
- J. K. Finch, The single valued extension property on a Banach space, Pacific J. Math. 58 (1975), no. 1, 61-69. MR 0374985 (51:11181)
- 8.
- J. X. Li, The single valued extension property for operator weighted shifts, Northeast Math. J. 10 (1994), no. 1, 99-103. MR 1294367 (95i:47054)
- 9.
- K. B. Laursen and M. M. Neumann, An introduction to local spectral theory, London Mathematical Society Monographs New Series 20 (2000). MR 1747914 (2001k:47002)
- 10.
- J. X. Li, Y. Q. Ji and S. L. Sun, The essential spectrum and Banach reducibility of operator weighted shifts, Acta Math. Sinica, English Series, Vol 17, 3 (2001) 413-424. MR 1852955 (2002g:47063)
- 11.
- A. L. Shields, Weighted shift operators and analytic function theory, in Topics in Operator Theory, Mathematical Surveys, no. 13 (ed. C. Pearcy), pp. 49-128. American Mathematical Society, Providence, Rhode Island 1974. MR 0361899 (50:14341)
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Additional Information:
A.
Bourhim
Affiliation:
The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
Email:
bourhim@ictp.trieste.it
C.
E.
Chidume
Affiliation:
The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
Email:
chidume@ictp.trieste.it
DOI:
10.1090/S0002-9939-04-07535-5
PII:
S 0002-9939(04)07535-5
Received by editor(s):
August 29, 2003
Received by editor(s) in revised form:
October 14, 2003
Posted:
September 8, 2004
Additional Notes:
This research was supported in part by the Abdus Salam ICTP, Trieste, Italy
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
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