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Contractive maps on operator ideals and norm inequalities II
Abstract Let ( I , ⦀ . ⦀ ) be a norm ideal of operators equipped with a unitarily invariant norm ⦀ . ⦀ . We exploit integral representations of certain functions to prove that certain ratios ofExpand
Some norm inequalities for operators
For any unitarily invariant norm on Hilbert-space operators, we prove Holder and Cauchy–Schwarz inequalities. As a consequence, several inequalities are lifted to the operator settings. Some moreExpand
On a question of Bhatia, Friedland and Jain
Let p1<p2<⋯<pn be positive numbers, then for any integer m the Loewner matrix associated with the function xm is given by Lm=(pim−pjm)/(pi−pj)i,j=1n. A question was left open in a paper [Bhatia R, ...
Determinants of some special matrices
Let p 1 , p 2 , … , p n be distinct positive real numbers and m be any integer. Every symmetric polynomial f ( x , y ) ∈ C [ x , y ] induces a symmetric matrix f ( p i , p j ) i , j = 1 n . We obta...
Conditionally Negative Definite Functions
Let $$f:[0,\infty )\rightarrow [0,\infty )$$f:[0,∞)→[0,∞) be an operator monotone function and $$g: \mathbb {R}\rightarrow [0,\infty )$$g:R→[0,∞) be a conditionally negative definite(in short cnd)Expand
Norm Inequalities Related to the Heron and Heinz Means
In this article, we present several inequalities treating operator means and the Cauchy–Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means,Expand