Dilation of Dual Frame Pairs in Hilbert C*-Modules Academic Article uri icon

abstract

  • 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. 2011 Springer Basel AG.

published proceedings

  • Results in Mathematics

author list (cited authors)

  • Han, D., Jing, W. u., Larson, D., Li, P., & Mohapatra, R. N.

citation count

  • 14

publication date

  • February 2013