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Riesz points of upper triangular operator matrices
Author(s):
Bruce
A.
Barnes
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1343-1347.
MSC (2000):
Primary 47A10
Posted:
December 15, 2004
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Abstract:
Two results are proved which concern Riesz points of upper triangular operator matrices. Applications are made to questions involving when Weyl's Theorem holds for an upper triangular operator matrix.
References:
-
- [B1]
- B. Barnes, Riesz points and Weyl's Theorem, Integral Equ. and Operator Theory 34 (1999), 187-196. MR 1694707 (2000d:47006)
- [B2]
- B. Barnes, The spectral theory of upper triangular matrices with entries in a Banach algebra, Math. Nachr. 241 (2002), 5-20. MR 1912373 (2003e:47004)
- [BMSW]
- B. Barnes, G. Murphy, R. Smyth, and T.T. West, Riesz and Fredholm Theory in Banach Algebras, Pitman, Boston-London-Melbourne, 1982. MR 0668516 (84a:46108)
- [BB]
- M. Barraa and M. Boumazgour, A note on the spectrum of an upper triangular operator matrix, Proc. Amer. Math. Soc. 131 (2003), 3083-3088. MR 1993217 (2004d:47009)
- [DH]
- S. Djordjevic and Y. Han, A note on Weyl's Theorem for operator matrices, Proc. Amer. Math. Soc. 131 (2002), 2543-2547. MR 1974653 (2004a:47002)
- [HL]
- R. Harte and W. Lee, Another note on Weyl's Theorem, Trans. Amer. Math. Soc. 349 (1997), 2115-2124. MR 1407492 (98j:47024)
- [L]
- W. Lee, Weyl's spectra of operator matrices, Proc. Amer. Math. Soc. 129 (2000), 131-138.MR 1784020 (2001f:47003)
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Additional Information:
Bruce
A.
Barnes
Affiliation:
Department of Mathematics, University of Oregon, Eugene, Oregon 97403
Email:
barnes@math.uoregon.edu
DOI:
10.1090/S0002-9939-04-07811-6
PII:
S 0002-9939(04)07811-6
Keywords:
Riesz point,
upper triangular operator matrix,
Weyl's Theorem
Received by editor(s):
November 4, 2003
Posted:
December 15, 2004
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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