Available in electronic format
Available in print format
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

On the spectral picture of an irreducible subnormal operator II

Author(s): Nathan S. Feldman; Paul McGuire
Journal: Proc. Amer. Math. Soc. 131 (2003), 1793-1801.
MSC (2000): Primary 47B20; Secondary 47A10
Posted: October 1, 2002
Retrieve article in: PDF DVI PostScript

Abstract | References | Similar articles | Additional information

Abstract: In this paper we show that the spectral picture of an irreducible subnormal operator may be arbitrarily prescribed subject only to certain natural necessary conditions. This completes work begun by the second author.


References:

1.
K. Clancey & C.R. Putnam, The local spectral behavior of completely subnormal operators, Trans. Amer. Math. Soc. 163 (1972), 239-244. MR 45:934

2.
J.B. Conway, The dual of a subnormal operator J. Operator Theory 5 (1981), no. 2, 195-211. MR 84j:47037

3.
J.B. Conway, Subnormal Operators, Research Notes in Mathematics, Vol. 51, Pitman, London, 1981. MR 83i:47030

4.
J.B. Conway, The Theory of Subnormal Operators, Amer. Math. Soc., Providence, RI, 1991. MR 92h:47026

5.
M.J. Cowen & R.G. Douglas, Complex Geometry and Operator Theory, Acta. Math. 141 (1978), 187-261. MR 80f:47012

6.
H. Grauert, Analytische Faserungen uber holomorph vollstandigen Raumen Math. Ann. 135 (1958), 263-273. MR 20:4661

7.
P. McGuire, On the spectral picture of an irreducible subnormal operator, Proc. Amer. Math. Soc. 104 (1988), 801-808. MR 90d:47026

8.
P. McGuire, $C^*$-algebras generated by subnormal operators, J. Funct. Anal. 79 (1988), 423-445. MR 90a:47063

9.
R.F. Olin & J.E. Thomson, Irreducible operators whose spectra are spectral sets, Pacific J. Math. 91 (1980), 431-434. MR 82j:47012

10.
R.F. Olin & J.E. Thomson, Lifting the commutant of a subnormal operator, Can. J. Math. 31 (1979), 148-156. MR 80b:47034

11.
J.E. Thomson, Approximation in the mean by polynomials, Ann. of Math. (2) 133 (1991), no. 3, 477-507. MR 93g:47026


Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47B20, 47A10

Retrieve articles in all Journals with MSC (2000): 47B20, 47A10


Additional Information:

Nathan S. Feldman
Affiliation: Department of Mathematics, Washington & Lee University, Lexington, Virginia 24450
Email: feldmanN@wlu.edu

Paul McGuire
Affiliation: Department of Mathematics, Bucknell University, Lewisburg, Pennsylvania 17837
Email: pmcguire@bucknell.edu

DOI: 10.1090/S0002-9939-02-06705-9
PII: S 0002-9939(02)06705-9
Keywords: Spectral picture, irreducible subnormal operator, dual operator
Received by editor(s): November 8, 2001
Received by editor(s) in revised form: January 17, 2002
Posted: October 1, 2002
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2002, American Mathematical Society


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2008, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google