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Monotonicity versions of Epstein's Concavity Theorem and related inequalities

  • Published:2022-12 Issue: Volume:654 Page:289-310
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Carlen Eric A.,Zhang HaonanORCID

Funder

IST Austria

Austrian Science Fund

National Science Foundation

Rutgers University

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference27 articles.

1. Concavity of certain maps on positive definite matrices and applications to Hadamard products;Ando;Linear Algebra Appl.,1979

2. Inequalities in von Neumann algebras;Araki,1975

3. Sandwiched Rényi divergence satisfies data processing inequality;Beigi;J. Math. Phys.,2013

4. Matrix Analysis;Bhatia,1997

5. Positive Definite Matrices;Bhatia,2009

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1. A class of Schwarz qubit maps with diagonal unitary and orthogonal symmetries;Journal of Physics A: Mathematical and Theoretical;2024-09-10

2. On α-z-Rényi divergence in the von Neumann algebra setting;Journal of Mathematical Physics;2024-04-01

3. Equality cases in monotonicity of quasi-entropies, Lieb’s concavity and Ando’s convexity;Journal of Mathematical Physics;2023-10-01

4. Minimum average case time complexity for sorting algorithms;Iran Journal of Computer Science;2023-07-29

5. Characterizing Schwarz maps by tracial inequalities;Letters in Mathematical Physics;2023-02
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