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
DOI:
https://doi.org/10.1090/S0002-9939-96-03309-6
MathSciNet review:
1322934
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: A theorem on the commuting property of Taylor's spectrum for crisscross commuting pairs is proved in this paper.
- 1. Raúl E. Curto and Lawrence A. Fialkow, The spectral picture of (𝐿_{𝐴},𝑅_{𝐵}), J. Funct. Anal. 71 (1987), no. 2, 371–392. MR 880986, https://doi.org/10.1016/0022-1236(87)90010-3
- 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.
, J. Funct. Anal. 71 (1989), 371--392. Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47A10
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Additional Information
Shaokuan Li
Affiliation:
Department of Basic Sciences, China Textile University, 200051, Shanghai, People’s Republic of China
DOI:
https://doi.org/10.1090/S0002-9939-96-03309-6
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
Article copyright:
© Copyright 1996
American Mathematical Society
