Article ID Journal Published Year Pages File Type
4621915 Journal of Mathematical Analysis and Applications 2008 6 Pages PDF
Abstract

We define a natural metric on the space of all bounded frame functions on a given Hilbert space and also on the space of all bounded frame functions with a given weight. We present the complete description of the surjective isometries of the so-obtained metric spaces. In fact, it turns out that those isometries are intrinsically induced by unitary or antiunitary operators on the underlying Hilbert space.

Related Topics
Physical Sciences and Engineering Mathematics Analysis