QA322 : Dilation of Dual frxame Pairs in Hilbert C*-Modules
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2015
Authors:
Abstarct: We investigate the geometric properties for Hilbert C*-modular frxames. We show that any dual frxame 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 frxame pair dilation theory due to Casazza, Han and Larson to dual Hilbert C*-modular frxame pairs. Additionally, for any Hilbert C*-modular dual frxame pair induced by a group of unitary operators, we show that there is a dilated dual pair which inherits the same group structure. Finaly we investigate the structure of g-frxames on Hilbert spaces.
Keywords:
#Dilation #frxame #Riesz basis #Bessel sequence #Hilbert C*-modular #Hilbert space #g-frxame #g-Riesz basis #g-Bessel sequence
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: