Author

M. Putinar

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Preprint Nov 2026

A general framework for universal bounds on the analytic functional calculus

We establish a general principle for bounding the matrix-valued analytic functional calculus $F\mapsto F(T)$ of a Hilbert space operator $T$, independently of the matrix size. It rests on two properties of an auxiliary Hilbert space of holomorphic functions: the accretivity of its moment map at $T$ and a uniform bound...

M. Putinar, Georgios Tsikalas · 0 citations

Preprint Sep 2026

Hyperbolic distance matrix completion

A completion theory for hyperbolic distance data is developed at the interface of matrix analysis, graph theory, and hyperbolic geometry. Krein's characterization of the metric space embeddability in Lobachevsky space leads to a natural anchoring procedure that transforms the indefinite data into a positive semidefinit...

M. Putinar, P. K. Vishwakarma · 0 citations