QA322 : Dilation of Dual frxame Pairs in Hilbert C*-Modules
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2015
Authors:
Hamid Reza Heydari [Author], Kamran Sharifi[Supervisor], Ali Reza Khoddami[Supervisor]
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 Link
Keeping place: Central Library of Shahrood University
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