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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Taylor spectral invariance for crisscross commuting pairs on Banach spaces
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by Shaokuan Li PDF
Proc. Amer. Math. Soc. 124 (1996), 2069-2071 Request permission

Abstract:

A theorem on the commuting property of Taylor’s spectrum for crisscross commuting pairs is proved in this paper.
References
  • 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, DOI 10.1016/0022-1236(87)90010-3
  • Shaokuan Li, On the commuting properties of Taylor’s spectrum, Chinese Sci. Bull. 37 (1992), 1849–1852.
  • 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
  • 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 1996 American Mathematical Society
  • 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