Geodesic
Lorentz-Schatten Classes and Pointwise Domination of Matrices
Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 162-168

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

We investigate pointwise domination property in operator spaces generated by Lorentz sequence spaces.
DOI : 10.4153/CMB-1999-019-1
Mots-clés : 47B10 
Cobos, Fernando; Kühn, Thomas. Lorentz-Schatten Classes and Pointwise Domination of Matrices. Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 162-168. doi: 10.4153/CMB-1999-019-1
@article{10_4153_CMB_1999_019_1,
     author = {Cobos, Fernando and K\"uhn, Thomas},
     title = {Lorentz-Schatten {Classes} and {Pointwise} {Domination} of {Matrices}},
     journal = {Canadian mathematical bulletin},
     pages = {162--168},
     year = {1999},
     volume = {42},
     number = {2},
     doi = {10.4153/CMB-1999-019-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-019-1/}
}
TY  - JOUR
AU  - Cobos, Fernando
AU  - Kühn, Thomas
TI  - Lorentz-Schatten Classes and Pointwise Domination of Matrices
JO  - Canadian mathematical bulletin
PY  - 1999
SP  - 162
EP  - 168
VL  - 42
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-019-1/
DO  - 10.4153/CMB-1999-019-1
ID  - 10_4153_CMB_1999_019_1
ER  - 
%0 Journal Article
%A Cobos, Fernando
%A Kühn, Thomas
%T Lorentz-Schatten Classes and Pointwise Domination of Matrices
%J Canadian mathematical bulletin
%D 1999
%P 162-168
%V 42
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-019-1/
%R 10.4153/CMB-1999-019-1
%F 10_4153_CMB_1999_019_1

[1] [1] Boas, R. P., Majorant problems for trigonometric series. J. Anal. Math. 10 (1962/63), 253–271. Google Scholar

[2] [2] Cobos, F. and Kühn, T., On a conjecture of Barry Simon on trace ideals. Duke Math. J. 59 (1989), 295–299. Google Scholar

[3] [3] Còrdoba, A., A counterexample in operator theory. Publ.Mat. 37 (1993), 335–338. Google Scholar

[4] [4] Déchamps-Gondim, M., Lust-Picard, F. and Queffelec, H., La proprieté du minorant dans C‘(H). C. R. Acad. Sci. Paris, Sér. I 295 (1982), 657–659. Google Scholar

[5] [5] Déchamps-Gondim, M., On the minorant properties in Cp(H). Pacific J. Math. 119 (1985), 89–101. Google Scholar

[6] [6] Gohberg, I. C. and Krein, M. G., Introduction to the Theory of Linear Nonselfadjoint Operators. Amer. Math. Soc., Providence, RI, 1969. Google Scholar

[7] [7] König, H., Eigenvalue Distribution of Compact Operators. Birkhaüser, Basel, 1986. Google Scholar

[8] [8] Peller, V. V., Hankel operators of class Sp and their applications (rational approximation, Gaussian processes, the problem of majorizing operators). Math. USSR-Sb. 41 (1982), 443–479. Google Scholar

[9] [9] Pietsch, A., Eigenvalues and s-numbers. Cambridge University Press, Cambridge, 1987. Google Scholar

[10] [10] Simon, B., Trace Ideals and Their Applications. Cambridge University Press, Cambridge, 1979. Google Scholar

[11] [11] Simon, B., Pointwise domination of matrices and comparison of Sp norms. Pacific J. Math. 97 (1981), 471–475. Google Scholar

Cité par Sources :