Open Access
December 2006 On the Norm of a Self-Adjoint Operator and Applications to the Hilbert's Type Inequalities
Bicheng Yang
Bull. Belg. Math. Soc. Simon Stevin 13(4): 577-584 (December 2006). DOI: 10.36045/bbms/1168957335

Abstract

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.

Citation

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Bicheng Yang. "On the Norm of a Self-Adjoint Operator and Applications to the Hilbert's Type Inequalities." Bull. Belg. Math. Soc. Simon Stevin 13 (4) 577 - 584, December 2006. https://doi.org/10.36045/bbms/1168957335

Information

Published: December 2006
First available in Project Euclid: 16 January 2007

zbMATH: 1128.47010
MathSciNet: MR2300615
Digital Object Identifier: 10.36045/bbms/1168957335

Subjects:
Primary: 26D15 , 47A07

Keywords: Beta function , bilinear inequality , Hilbert's type inequality , norm , self-adjoint

Rights: Copyright © 2006 The Belgian Mathematical Society

Vol.13 • No. 4 • December 2006
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