Non-linear traces on the algebra of compact operators and majorization

DOI10.1016/j.indag.2023.02.002arXiv2209.05397OpenAlexW4321487328MaRDI QIDQ6041359

Masaru Nagisa, Yasuo Watatani

Publication date: 26 May 2023

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.05397

zbMATH Keywords

trace classalgebra of compact operatorsmonotone mapnonlinear traceSchatten-von Neumann \(p\)-class

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Operator spaces and completely bounded maps (46L07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear completely positive maps and dilation theory for real involutive algebras
• Modeling attitudes toward uncertainty through the use of the Sugeno integral
• Convex and concave functions of singular values of matrix sums
• Means of positive linear operators
• Characterization and comparison of Sugeno and Choquet integrals
• Measure and integral with purely ordinal scales.
• Extensions of nonlinear completely positive maps
• Theory of inclusion-exclusion integral
• Subalgebras of \(C^ *\)-algebras
• Theory of capacities
• Non-linear traces on matrix algebras, majorization, unitarily invariant norms and 2-positivity
• Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
• Triangle inequalities in operator algebras
• Integral Representation Without Additivity
• Non-linear monotone positive maps
• Continuity of positive nonlinear maps between $C^*$-algebras
• Non-linear positive maps between C*-algebras
• Introduction to matrix analysis and applications

This page was built for publication: Non-linear traces on the algebra of compact operators and majorization