Jordan Loops and Decompositions of Operators
Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 1112-1119

Voir la notice de l'article provenant de la source Cambridge University Press

Let be a separable, infinite dimensional, complex Hilbert space, and let denote the algebra of all bounded linear operators on . In what follows we shall denote the spectrum, essential spectrum, and left essential spectrum of an operator T in , respectively. Furthermore, if and T1 is unitarily equivalent to a compact perturbation of an operator T2, then we write T1~ T2, and if the compact perturbation can be chosen to have norm less than e, we write T1 ~ T2(ε).
Brown, Arlen; Pearcy, Carl. Jordan Loops and Decompositions of Operators. Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 1112-1119. doi: 10.4153/CJM-1977-109-8
@article{10_4153_CJM_1977_109_8,
     author = {Brown, Arlen and Pearcy, Carl},
     title = {Jordan {Loops} and {Decompositions} of {Operators}},
     journal = {Canadian journal of mathematics},
     pages = {1112--1119},
     year = {1977},
     volume = {29},
     number = {5},
     doi = {10.4153/CJM-1977-109-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-109-8/}
}
TY  - JOUR
AU  - Brown, Arlen
AU  - Pearcy, Carl
TI  - Jordan Loops and Decompositions of Operators
JO  - Canadian journal of mathematics
PY  - 1977
SP  - 1112
EP  - 1119
VL  - 29
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-109-8/
DO  - 10.4153/CJM-1977-109-8
ID  - 10_4153_CJM_1977_109_8
ER  - 
%0 Journal Article
%A Brown, Arlen
%A Pearcy, Carl
%T Jordan Loops and Decompositions of Operators
%J Canadian journal of mathematics
%D 1977
%P 1112-1119
%V 29
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-109-8/
%R 10.4153/CJM-1977-109-8
%F 10_4153_CJM_1977_109_8

[1] 1. Apostol, C., Foias, C., and Voiculescu, D., Some results on non-quasitriangular operators. IV, Revue Roum. Math. Pures et Appl. 18 (1973), 487–514. Google Scholar

[2] 2. Brown, A. and Pearcy, C., Introduction to operator theory. Volume I: Elements of functional analysis (Springer-Verlag, to appear). Google Scholar

[3] 3. Douglas, R. G. and Pearcy, C., Invariant subspaces of non-quasitriangular operators, Proc. Conf. Op. Theory, Springer-Verlag Lecture Notes in Mathematics, Vol. 3-5 (1973), 13–57. Google Scholar

[4] 4. Foias, C., Pearcy, C., and Voiculescu, D., The staircase representation of biquasitriangular operators, Mich. Math. J. 22 (1975), 343–352. Google Scholar

[5] 5. Foias, C. Biquasitriangular operators and quasisimilarity, submitted to Indiana U. Math. J. Google Scholar

[6] 6. Halmos, P. R., Limits of shifts, Acta Sci. Math. (Szeged) 34 (1973), 131–139. Google Scholar

[7] 7. Herrero, D. and Salinas, N., Operators with disconnected spectra are dense, Bull. Amer. Math. Soc. 78(1972), 525–526. Google Scholar

[8] 8. Pearcy, C., Some recent progress in operator theory, CBMS Regional Conference Series in Mathematics, A.M.S., to appear. Google Scholar

[9] 9. Rudin, W., Real and complex analysis (McGraw-Hill, New York, 1966). Google Scholar

Cité par Sources :