Dilation of Dual Frame Pairs in Hilbert C*-Modules
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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.
author list (cited authors)
Han, D., Jing, W. u., Larson, D., Li, P., & Mohapatra, R. N.
complete list of authors
Han, Deguang||Jing, Wu||Larson, David||Li, Pengtong||Mohapatra, Ram N