Geodesic
Weyl's theorem holds for p-hyponormal operators*
Glasgow mathematical journal, Tome 39 (1997) no. 2, pp. 217-220

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

Let H be a complex Hilbert space and B(H) the algebra of all bounded linear operators on H. Let H(H) be the algebra of all compact operators of B(H). For an operator T ε B(H), let σ(T), σp(T), σπ(T) and πoo(T) denote the spectrum, the point spectrum, the approximate point spectrum and the set of all isolated eigenvalues of finite multiplicity of T, respectively. We denote the kernel and the range of an operator T by ker(T) and R(T), respectively. For a subset of H, the norm closure of is denoted by . The Weyl spectrum ω(T) of T ε B(H) is defined as the set 
Chō, Muneo; Itoh, Masuo; Ōshiro, Satoru. Weyl's theorem holds for p-hyponormal operators*. Glasgow mathematical journal, Tome 39 (1997) no. 2, pp. 217-220. doi: 10.1017/S0017089500032092
@article{10_1017_S0017089500032092,
     author = {Ch\={o}, Muneo and Itoh, Masuo and \={O}shiro, Satoru},
     title = {Weyl's theorem holds for p-hyponormal operators*},
     journal = {Glasgow mathematical journal},
     pages = {217--220},
     year = {1997},
     volume = {39},
     number = {2},
     doi = {10.1017/S0017089500032092},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032092/}
}
TY  - JOUR
AU  - Chō, Muneo
AU  - Itoh, Masuo
AU  - Ōshiro, Satoru
TI  - Weyl's theorem holds for p-hyponormal operators*
JO  - Glasgow mathematical journal
PY  - 1997
SP  - 217
EP  - 220
VL  - 39
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032092/
DO  - 10.1017/S0017089500032092
ID  - 10_1017_S0017089500032092
ER  - 
%0 Journal Article
%A Chō, Muneo
%A Itoh, Masuo
%A Ōshiro, Satoru
%T Weyl's theorem holds for p-hyponormal operators*
%J Glasgow mathematical journal
%D 1997
%P 217-220
%V 39
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032092/
%R 10.1017/S0017089500032092
%F 10_1017_S0017089500032092

[1] 1.Aluthge, A., On p-hyponormal operators for 0 < p < 1, Integral Equations Operator Theory 13 (1990), 307–315. Google Scholar | DOI

[2] 2.Baxley, J. V., Some general conditions implying Weyl's theorem, Rev. Roum. Math. Pures Appl. 16 (1971), 1163–1166. Google Scholar

[3] 3.Baxley, J. V., On the Weyl spectrum of a Hilbert space operator, Proc. Amer. Math. Soc. 34 (1972), 447–452. Google Scholar | DOI

[4] 4.Chō, M., Spectral properties of p-hyponormal operators, Glasgow Math. J. 36 (1994), 117–122. Google Scholar | DOI

[5] 5.Chō, M. and Huruya, T., p-hyponormal operators for 0<p<½, Comment. Math. 33 (1993), 23–29. Google Scholar

[6] 6.Chō, M. and Itoh, M., Putnam's Inequality for p-hyponormal operators, Proc. Amer. Math. Soc. 123 (1995), 2435–2440. Google Scholar

[7] 7.Chō, M. and Jin, H., On p-hyponormal operators, Nihonkai Math. J. 6 (1995), 201–206. Google Scholar

[8] 8.Coburn, L. A., Weyl's theorem for nonnormal operators, Michigan Math. J. 13 (1965), 285–288. Google Scholar

[9] 9.Patel, S. M., A note on p-hyponormal operators for 0<p<1, Integral Equations Operator Theory 21 (1965), 498–503. Google Scholar | DOI

[10] 10.Stampfli, J. G., Hyponormal operators, Pacific J. Math. 12 (1962), 1453–1458. Google Scholar | DOI

[11] 11.Xia, D., Spectral theory of hyponormal operators (Birkhäuser Verlag, Boston, 1983). Google Scholar | DOI

Cité par Sources :