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Complete discrete Schoenberg-Delsarte theory for homogeneous spaces
Sujit Sakharam Damase, James Eldred Pascoe
We develop a theory of partially defined complete positivity preservers, extending Schoenberg's classical characterization to functions defined only on discrete subsets or constrai…
Numerical radius and operator norm of Kronecker products and Schur powers: inequalities and equalities
Pintu Bhunia, Sujit Sakharam Damase, Apoorva Khare
Suppose is a complex matrix and is a bounded linear operator on a complex Hilbert space $\mat…
Multivariate transforms of total positivity
Sujit Sakharam Damase, Apoorva Khare
Belton-Guillot-Khare-Putinar [J. d'Analyse Math. 2023] classified the post-composition operators that preserve TP/TN kernels of each specified order. We explain how to extend this…
A remark on characterizing inner product spaces via strong three-point homogeneity
Sujit Sakharam Damase, Apoorva Khare
We show that a normed linear space is isometrically isomorphic to an inner product space if and only if it is a strongly -point homogeneous metric space for any (or every) $n \g…