Common operator properties of the linear operators RS and SR

Proceedings of the American Mathematical Society

Volumn 126, Issue 4, 1998, Pages 1055-1061

  Barnes, Bruce A ^a  

^a UNIVERSITY OF OREGON   (United States)

Author keywords

Closed range; Fredholm operator; Poles of the resolvent; Spectrum

Indexed keywords

EID: 22044432226     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04218-x     Document Type: Article

References (9)

1. [B1] B. Barnes, The spectral and Fredholm theory of extensions of bounded linear operators, Proc. Amer. Math. Soc. 105 (1989), 941-949. MR 891:47008
2. [B2] B. Barnes, Linear operators with a normal factorization through Hubert space, Act. Sci. Math. (Szeged) 56 (1992), 125-146. MR 94h:47035
3. [BD] F. Bonsall and J. Duncan, Complete Normed Algebras, Springer-Verlag, Berlin-New York, 1973. MR 54:11013
4. [CPY] S. Caradus, W. Pfaffenberger, and B. Yood, Calkin Algebras and Algebras of Operators on Banach Spaces, Lecture Notes in Pure and Applied Math., Vol. 9, Marcel Dekker, New York, 1974. MR 54:3434
5. [J] K. Jörgens, Linear Integral Operators, Pitman, Boston, 1982. MR83j:45001
6. [P] T. Palmer, Banach Algebras and the General Theory of-Algebras, Vol. I, Encyclopedia of Math, and its Appl., Vol. 49, Cambridge Univ. Press, Cambridge, 1994. MR 95c:46002
7. [R] C. Rickart, Banach Algebras, D. Van Nostrand, Princeton, 1960. MR 22:5903
8. [Rg] J. Ringrose, Compact Non-Self-Adjoint Operators, Van Nostrand Reinhold Math. Studies 35, London, 1971.
9. [TL] A. Taylor and D. Lay, Introduction to Functional Analysis, 2nd Edition, Wiley, New York, 1980. MR 81b:46001