Non-linear spectrum-preserving maps

Bulletin of the London Mathematical Society

Volumn 32, Issue 1, 2000, Pages 8-14

  Baribeau, Line ^a   Ransford, Thomas ^a  

^a UNIVERSITÉ LAVAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033634194     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609399006426     Document Type: Article

References (8)

1. B. AUPETIT, 'Sur les transformations qui conservent le spectre', Proceedings of the 13th International Conference on Banach Algebras, Blaubeuren, 1997 (ed. E. Albrecht and M. Mathieu, de Gruyter, Berlin, 1998) 55-78.
2. B. AUPETIT and H. DU T. MOUTON, 'Spectrum preserving linear mappings in Banach algebras', Studia Math. 109 (1994) 91-100.
3. I. C. GOHBERG and M. G. KREǏN, Introduction to the theory of linear nonselfadjomt operators (Amer. Math. Soc., Providence, RI, 1969).
4. S. H. HOCHWALD, 'Multiplicative maps on matrices that preserve the spectrum', Linear Algebra Appl. 212/213 (1994) 339-351.
5. A. A. JAFARIAN and A. R. SOUROUR, 'Spectrum-preserving linear maps', J. Funct. Anal. 66 (1986) 255-261.
6. M. MARCUS and B. N. MOYLS, 'Linear transformations on algebras of matrices', Canad. J. Math. 11 (1959) 61-66.
7. T.J. RANSFORD, 'A Cartan theorem for Banach algebras', Proc. Amer. Math. Soc. 124 (1996) 243-247.
8. T. J. RANSFORD and M. C. WHITE, 'Holomorphic self-maps of the spectral unit ball', Bull. London Math. Soc. 23 (1991) 256-262.