ON WEYL'S THEOREM FOR TENSOR PRODUCTS
Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 139-144

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

Let A and B be operators acting on infinite-dimensional spaces. In this paper we prove that if A and B are isoloid, satisfy Weyl's theorem, and the Weyl spectrum identity holds, then A⊗B satisfies Weyl's theorem.
DOI : 10.1017/S0017089512000407
Mots-clés : Primary 47A80, Secondary 47A53
KUBRUSLY, C. S.; DUGGAL, B. P. ON WEYL'S THEOREM FOR TENSOR PRODUCTS. Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 139-144. doi: 10.1017/S0017089512000407
@article{10_1017_S0017089512000407,
     author = {KUBRUSLY, C. S. and DUGGAL, B. P.},
     title = {ON {WEYL'S} {THEOREM} {FOR} {TENSOR} {PRODUCTS}},
     journal = {Glasgow mathematical journal},
     pages = {139--144},
     year = {2013},
     volume = {55},
     number = {1},
     doi = {10.1017/S0017089512000407},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000407/}
}
TY  - JOUR
AU  - KUBRUSLY, C. S.
AU  - DUGGAL, B. P.
TI  - ON WEYL'S THEOREM FOR TENSOR PRODUCTS
JO  - Glasgow mathematical journal
PY  - 2013
SP  - 139
EP  - 144
VL  - 55
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000407/
DO  - 10.1017/S0017089512000407
ID  - 10_1017_S0017089512000407
ER  - 
%0 Journal Article
%A KUBRUSLY, C. S.
%A DUGGAL, B. P.
%T ON WEYL'S THEOREM FOR TENSOR PRODUCTS
%J Glasgow mathematical journal
%D 2013
%P 139-144
%V 55
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000407/
%R 10.1017/S0017089512000407
%F 10_1017_S0017089512000407

[1] 1.Brown, A. and Pearcy, C., Spectra of tensor products of operators, Proc. Amer. Math. Soc. 17 (1966), 162–166. Google Scholar | DOI

[2] 2.Duggal, B. P., Djordjević, S. V. and Kubrusly, C. S., On the a-Browder and a-Weyl spectra of tensor products, Rend. Circ. Mat. Palermo 59 (2010), 473–481. Google Scholar | DOI

[3] 3.Ichinose, T., Spectral properties of linear operators I, Trans. Amer. Math. Soc. 235 (1978), 75–113. Google Scholar | DOI

[4] 4.Kitson, D., Harte, R. and Hernandez, C., Weyl's theorem and tensor products: A counterexample, J. Math. Anal. Appl. 378 (2011), 128–132. Google Scholar | DOI

[5] 5.Kubrusly, C. S., Fredholm theory in Hilbert space – a concise introductory exposition, Bull. Belg. Math. Soc. Simon Stevin 15 (2008), 153–177. Google Scholar

[6] 6.Kubrusly, C. S., Spectral theory of operators on Hilbert spaces (Birkhäuser/Springer, New York, 2012). Google Scholar

[7] 7.Kubrusly, C. S. and Duggal, B. P., On Weyl and Browder spectra of tensor product, Glasgow Math. J. 50 (2008), 289–302. Google Scholar

[8] 8.Song, Y.-M. and Kim, A.-H., Weyl's theorem for tensor products, Glasgow. Math. J. 46 (2004), 301–304. Google Scholar | DOI

Cité par Sources :