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Taylor spectral invariance for crisscross
commuting pairs on Banach spaces

Author: Shaokuan Li
Journal: Proc. Amer. Math. Soc. 124 (1996), 2069-2071
MSC (1991): Primary 47A10
MathSciNet review: 1322934
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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 [Enhancements On Off] (What's this?)

  • 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

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
Article copyright: © Copyright 1996 American Mathematical Society