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math.FA2013★ 2 cited
Loewner positive entrywise functions, and classification of measurable solutions of Cauchy's functional equations
Dominique Guillot, Apoorva Khare, Bala Rajaratnam
Entrywise functions preserving Loewner positivity have been studied by many authors, most notably Schoenberg and Rudin. Following their work, it is known that functions preserving…
math.FA2013★ 30 cited
Complete characterization of Hadamard powers preserving Loewner positivity, monotonicity, and convexity
Dominique Guillot, Apoorva Khare, Bala Rajaratnam
Entrywise powers of symmetric matrices preserving positivity, monotonicity or convexity with respect to the Loewner ordering arise in various applications, and have received much a…