Dilation of Dual Frame Pairs in Hilbert C*-Modules
Abbreviated Journal Title
Frames; Riesz bases; dilation; dual frame pairs; frame vectors; unitary; groups; Hilbert C*-modules; ALGEBRAS; Mathematics, Applied; Mathematics
We investigate the geometric properties for Hilbert C*-modular frames. We show that any dual frame pair in a Hilbert C*-module is an orthogonal compression of a Riesz basis and its canonical dual for some larger Hilbert C*-module. This generalizes the Hilbert space dual frame pair dilation theory due to Casazza, Han and Larson to dual Hilbert C*-modular frame pairs. Additionally, for any Hilbert C*-modular dual frame pair induced by a group of unitary operators, we show that there is a dilated dual pair which inherits the same group structure.
Results in Mathematics
"Dilation of Dual Frame Pairs in Hilbert C*-Modules" (2013). Faculty Bibliography 2010s. 2550.