Distance between reproducing kernel Hilbert spaces and geometry of finite sets in the unit ball
Danny Ofek,
Satish K. Pandey,
Orr Shalit
Abstract:In this paper we study the relationships between a reproducing kernel Hilbert space, its multiplier algebra, and the geometry of the point set on which they live. We introduce a variant of the Banach-Mazur distance suited for measuring the distance between reproducing kernel Hilbert spaces, that quantifies how far two spaces are from being isometrically isomorphic as reproducing kernel Hilbert spaces. We introduce an analogous distance for multiplier algebras, that quantifies how far two algebras are from bein… Show more
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