Spectral continuity for operator matrices
Glasgow mathematical journal, Tome 43 (2001) no. 3, pp. 487-490

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

In this paper we prove that if M_C=\pmatrix {A&#TAB;C\cr0&#TAB;B} is a 2\times 2 upper triangular operator matrix on the Hilbert space H\bigoplus K and if \sigma (A)\cap \sigma (B)=\emptyset , then \sigma is continuous at A and B if and only if \sigma is continuous at M_C, for every C\in B(K,H{\hskip1}).
Djordjević, Slavisă V.; Han, Young Min. Spectral continuity for operator matrices. Glasgow mathematical journal, Tome 43 (2001) no. 3, pp. 487-490. doi: 10.1017/S0017089501030105
@article{10_1017_S0017089501030105,
     author = {Djordjevi\'c, Slavis\u{a} V. and Han, Young Min},
     title = {Spectral continuity for operator matrices},
     journal = {Glasgow mathematical journal},
     pages = {487--490},
     year = {2001},
     volume = {43},
     number = {3},
     doi = {10.1017/S0017089501030105},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089501030105/}
}
TY  - JOUR
AU  - Djordjević, Slavisă V.
AU  - Han, Young Min
TI  - Spectral continuity for operator matrices
JO  - Glasgow mathematical journal
PY  - 2001
SP  - 487
EP  - 490
VL  - 43
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089501030105/
DO  - 10.1017/S0017089501030105
ID  - 10_1017_S0017089501030105
ER  - 
%0 Journal Article
%A Djordjević, Slavisă V.
%A Han, Young Min
%T Spectral continuity for operator matrices
%J Glasgow mathematical journal
%D 2001
%P 487-490
%V 43
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089501030105/
%R 10.1017/S0017089501030105
%F 10_1017_S0017089501030105

Cité par Sources :