Georgios Tsikalas

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...