The norm of a bounded self-adjoint operator $T:$ $l^{2}\rightarrow $ $l^{2}$
is considered. As applications, a new bilinear inequality with a best
constant factor and some Hilbert's type inequalities are built.
Publié le : 2006-12-14
Classification:
norm,
self-adjoint,
bilinear inequality,
Hilbert's type inequality,
Beta function,
47A07,
26D15
@article{1168957335,
author = {Yang, Bicheng},
title = {On the Norm of a Self-Adjoint Operator and Applications to the Hilbert's Type Inequalities},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {12},
number = {5},
year = {2006},
pages = { 577-584},
language = {en},
url = {http://dml.mathdoc.fr/item/1168957335}
}
Yang, Bicheng. On the Norm of a Self-Adjoint Operator and Applications to the Hilbert's Type Inequalities. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp. 577-584. http://gdmltest.u-ga.fr/item/1168957335/