Translator Disclaimer
2013 Equivalency Relations between Continuous g-Frames and Stability of Alternate Duals of Continuous g-Frames in Hilbert C*-Modules
Zhong-Qi Xiang
J. Appl. Math. 2013(none): 1-11 (2013). DOI: 10.1155/2013/192732

Abstract

We introduce the modular continuous g-Riesz basis to improve one existing result for continuous g-Riesz basis in Hilbert C*-modules, and then we study the equivalency relations between continuous g-frames in Hilbert C*-modules, and, in particular, we obtain two necessary and sufficient conditions under which two continuous g-frames are similar. Finally, we generalize a stability result for alternate duals of g-frames in Hilbert spaces to alternate duals of continuous g-frames in Hilbert C*-modules.

Citation

Download Citation

Zhong-Qi Xiang. "Equivalency Relations between Continuous g-Frames and Stability of Alternate Duals of Continuous g-Frames in Hilbert C*-Modules." J. Appl. Math. 2013 1 - 11, 2013. https://doi.org/10.1155/2013/192732

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950546
MathSciNet: MR3108947
Digital Object Identifier: 10.1155/2013/192732

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
11 PAGES


SHARE
Vol.2013 • 2013
Back to Top