Abstract
AbstractIn this paper, for a semi-finite von Neumann algebra $\mathcal{M}$
M
, we study the Young, Hölder and Heinz means inequalities and extend results for τ-measurable operators. We obtain some refinements of the those inequalities for τ-measurable operators. We have also presented several inequalities in the sense of majorization.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference24 articles.
1. Ando, T.: Matrix Young inequalities. Oper. Theory, Adv. Appl. 75, 33–38 (1988)
2. Pure and Applied Mathematics;C. Bannett,1988
3. Bhatia, R.: Matrix Analysis. Springer, New York (1997)
4. Bhatia, R., Davis, C.: A Cauchy-Schwarz inequality for operators with applications. Linear Algebra Appl. 224, 119–129 (1995)
5. Dodds, P.G., Dodds, T.K.Y., De Pagter, B.: Non-commutative Banach function spaces. Mat. Ž. 201, 583–597 (1989). https://doi.org/10.1007/BF01215160