Isometries of the spaces of bounded frame functions |
| |
| Authors: | Lajos Molná r |
| |
| Affiliation: | Institute of Mathematics, University of Debrecen, H-4010 Debrecen, PO Box 12, Hungary |
| |
| 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. |
| |
| Keywords: | Frame function Trace-class operator Trace norm Isometry |
| 本文献已被 ScienceDirect 等数据库收录！ |
