Inequalities for unitarily invariant norms [PDF]
Journal of Mathematical Inequalities, 2012 Limin Zou, Youyi Jiang
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A matrix inequality for unitarily invariant norms
Journal of Mathematical Inequalities, 2022 Xin Jin, F ng Zhang, Ji li Xu
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Approche variationnelle de la fonction rang : relaxation convexe, sous-différentiation généralisée, régularisation-approximation de Moreau [PDF]
, 2013 Dans ce mémoire de these, nous étudions la fonction rang du point de vue variationnel. La raison pour laquelle nous nous intéressons à cette fonction est qu'elle apparaît comme une fonction objectif (ou comme fonction contrainte) dans divers problèmes d ...
Le, Hai Yen
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Arbitrary unitarily invariant random matrix ensembles and supersymmetry
, 2006 We generalize the supersymmetry method in random matrix theory to ensembles which are unitarily invariant, but otherwise arbitrary. Our exact approach extends a previous contribution in which we constructed a supersymmetric representation for the class ...
Guhr, Thomas, Thomas Guhr
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Unitarily invariant norm inequalities involving $G_1$ operators
, 2018 To appear in Commun.
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Local Lidskii's theorems for unitarily invariant norms [PDF]
, 2020 Lidskii's additive inequalities (both for eigenvalues and singular values) can be interpreted as an explicit description of global minimizers of functions that are built on unitarily invariant norms, with domains consisting of certain orbits of matrices (
Rios, Noelia Belén +2 more
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On Geometry of p-Adic Coherent States and Mutually Unbiased Bases. [PDF]
Entropy (Basel), 2023 Zelenov E.
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The separation modulus of unitarily invariant matrix norms
If $X=(M_n(\mathbb{R}),\|\cdot\|)$ is a unitarily invariant normed space on , then we prove (via exact computations for a Jacobi orthogonal random matrix ensemble) that the spectral gap of the Laplacian with Dirichlet boundary conditions on the unit ball $B_X$ of $X$ satisfies $λ(X)\asymp n^3 \|I\|^2$.
Gunes, Mustafa Alper, Naor, Assaf
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On weakly unitarily invariant norm and the Aluthge transformation
Linear Algebra and its Applications, 2003 The main result: \(|||f(P^\lambda UP^{1-\lambda})|||\leq \max\{|||f(T)|||, |||U^* f(T)U+ f(0)(I- U^* U)|||\}\), where \(T\in B(H)\) is a bounded linear operator on a Hilbert space \(H\), \(f\) is a polynomial, and \(|||\cdot|||\) is a seminorm on \(H\) which satisfies the following two conditions: a) \(\exists\gamma> 0\) such that \(|||X|||\leq \gamma\|
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Quantum adiabatic theorem for unbounded Hamiltonians with a cutoff and its application to superconducting circuits. [PDF]
Philos Trans A Math Phys Eng Sci, 2023 Mozgunov E, Lidar DA.
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