Positivity preservers forbidden to operate on diagonal blocks

DOI10.1090/tran/8256zbMath1527.15037arXiv2002.00332OpenAlexW3047170560MaRDI QIDQ6135799

Unnamed Author

Publication date: 28 August 2023

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.00332

zbMATH Keywords

absolutely monotonic functionsentrywise positivity preserversforbidden blocksHerz function

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Power series (including lacunary series) in one complex variable (30B10) Classification of real functions; Baire classification of sets and functions (26A21) Linear preserver problems (15A86)

Cites Work

• Unnamed Item
• Complete characterization of Hadamard powers preserving Loewner positivity, monotonicity, and convexity
• Positive definite sequences and absolutely monotonic functions
• Critical exponents of graphs
• Positive definite matrices and absolutely monotonic functions
• Functions that preserve families of positive semidefinite matrices
• Fonctions opérant sur les fonctions définies-positives
• Positive definite functions on spheres
• Functions Operating on Positive Definite Matrices and a Theorem of Schoenberg
• Preserving positivity for rank-constrained matrices
• Functions preserving positive definiteness for sparse matrices
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses

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