Open Access

Controlled fusion frames

Abstract

We use two appropriate bounded invertible operators to define a controlled fusion frame with optimal fusion frame bounds to improve the numerical efficiency of iterative algorithms for inverting the fusion frame operator. We show that controlled fusion frames as a generalization of fusion frames give a generalized way to obtain numerical advantage in the sense of preconditioning to check the fusion frame condition. Also, we consider locally controlled frames for each locally space to obtain new globally controlled frames for our Hilbert space. We develop some well known results in fusion frames to the controlled fusion frames case.

Article Information

 Title Controlled fusion frames Source Methods Funct. Anal. Topology, Vol. 18 (2012), no. 3, 256-265 MathSciNet MR3051795 zbMATH 1265.42103 Copyright The Author(s) 2012 (CC BY-SA)

Authors Information

Amir Khosravi
Faculty of Mathematical Sciences and Computer, Tarbiat Moallem University, 599 Taleghani Ave., Tehran, 15618, Iran

Citation Example

Amir Khosravi and Kamran Musazadeh, Controlled fusion frames, Methods Funct. Anal. Topology 18 (2012), no. 3, 256-265.

BibTex

@article {MFAT611,
AUTHOR = {Khosravi, Amir and Musazadeh, Kamran},
TITLE = {Controlled fusion frames},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {18},
YEAR = {2012},
NUMBER = {3},
PAGES = {256-265},
ISSN = {1029-3531},
MRNUMBER = {MR3051795},
ZBLNUMBER = {1265.42103},
URL = {http://mfat.imath.kiev.ua/article/?id=611},
}