Properties and applications of a conjugate transform on Schatten classes

DOI10.1186/s13660-022-02863-4zbMath1509.15003OpenAlexW4296946178MaRDI QIDQ6038919

Wei-Qi Zhou

Publication date: 3 May 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-022-02863-4

zbMATH Keywords

Hilbert transformtriangular truncationconjugate transformRademacher-Menshov

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04) Conjugate functions, conjugate series, singular integrals (42A50) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• Isoperimetric inequalities for Schatten norms of Riesz potentials
• Analytic formulas for the topological degree of non-smooth mappings: The odd-dimensional case
• Random reordering in SOR-type methods
• A randomized Kaczmarz algorithm with exponential convergence
• On the Hausdorff-Young theorem for integral operators
• Iterative solution of large sparse systems of equations. Transl. from the German
• On the convergence rate of SOR: A worst case estimate
• Convergence analysis for Kaczmarz-type methods in a Hilbert space framework
• Interlacing families. II: Mixed characteristic polynomials and the Kadison-Singer problem
• On the constant in Meńshov-Rademacher inequality
• On convergence and growth of partial sums of Fourier series
• Consequences of the Marcus/Spielman/Srivastava Solution of the Kadison-Singer Problem
• Extensions of Pure States
• Extensions, Restrictions, and Representations of States on C ∗ - Algebras
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