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