Inequalities for the Schatten P-norm
Glasgow mathematical journal, Tome 26 (1985) no. 2, pp. 141-143
Voir la notice de l'article provenant de la source Cambridge University Press
Let H be a separable, infinite dimensional complex Hilbert space, and let B(H) denote the algebra of all bounded linear operators on H. Let K(H) denote the ideal of compact operators on H. For any compact operator A let |A|=(A*A)1,2 and S1(A), s2(A),... be the eigenvalues of |A| in decreasing order and repeatedaccording to multiplicity. If, for some 1<p<∞, si(A)p <∞, we say that A is in the Schatten p-class Cp and ∥A∥p=1/p is the p-norm of A. Hence, C1 is the trace class, C2 is the Hilbert–Schmidt class, and C∞ is the ideal of compact operators K(H).
Kittaneh, Fuad. Inequalities for the Schatten P-norm. Glasgow mathematical journal, Tome 26 (1985) no. 2, pp. 141-143. doi: 10.1017/S0017089500005905
@article{10_1017_S0017089500005905,
author = {Kittaneh, Fuad},
title = {Inequalities for the {Schatten} {P-norm}},
journal = {Glasgow mathematical journal},
pages = {141--143},
year = {1985},
volume = {26},
number = {2},
doi = {10.1017/S0017089500005905},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500005905/}
}
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