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Contractive maps on operator ideals and norm inequalities II
• Mathematics
• 15 January 2017
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
• Mathematics
• 1 July 2020
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
• Mathematics
• 20 December 2019
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
• Mathematics
• 1 October 2020
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
• Mathematics
• 17 September 2018
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
• Mathematics
• 26 September 2017
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