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Taylor spectral invariance for crisscross commuting pairs on Banach spaces

Author(s): Shaokuan Li
Journal: Proc. Amer. Math. Soc. 124 (1996), 2069-2071.
MSC (1991): Primary 47A10
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Abstract: A theorem on the commuting property of Taylor's spectrum for crisscross commuting pairs is proved in this paper.

References:

1.
R. E. Curto and L. Fialkow, The spectral pictures of $(L_A,R_B)$, J. Funct. Anal. 71 (1989), 371--392. MR 88c:47006
2.
Shaokuan Li, On the commuting properties of Taylor's spectrum, Chinese Sci. Bull. 37 (1992), 1849--1852.

3.
W. Crimus and C. Ecker, On the simultaneous diagonalizability of matrices, J. Phys. A 9 (1986), 3917--3919.

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Additional Information:

Shaokuan Li
Affiliation: Department of Basic Sciences, China Textile University, 200051, Shanghai, People's Republic of China

DOI: 10.1090/S0002-9939-96-03309-6
PII: S 0002-9939(96)03309-6
Keywords: Tuple of operators, Taylor's spectrum, Fredholm tuple
Received by editor(s): May 2, 1994
Received by editor(s) in revised form: September 30, 1994, November 29, 1994, and January 7, 1995
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1996, American Mathematical Society

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