Title : ( THE CORRESPONDENCE OF FUSION FRAMES AND FRAMES IN AHILBERTC∗-MODULE: COUNSTRUCTION AND APPLICATION INMODULAR FUSION FRAMES )
Authors: Mozhgan Mohammadpour , Rajab Ali Kamyabi Gol ,
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Abstract
In this article, we show that a fusion frame in an infinite dimensional separable Hilbert space H with finite dimensional subspaces whose dimensions are at most m,corresponds to a frame in the Hilbert B(C^m)-module H^m and present they share some properties. We also show that a Reisz fusion basis in H is correspondent with a Reisz basis in H^m. Finally, we introduce a new notion, modular fusion frame, using modular frames in the Hilbert B(C^m)-module H^m.
Keywords
, frame in HilbertC∗-module, fusion frame, modular fusion frame, Reisz fusion basis.
@article{paperid:1078074,
author = {Mohammadpour, Mozhgan and Kamyabi Gol, Rajab Ali},
title = {THE CORRESPONDENCE OF FUSION FRAMES AND FRAMES IN AHILBERTC∗-MODULE: COUNSTRUCTION AND APPLICATION INMODULAR FUSION FRAMES},
journal = {UPB Scientific Bulletin, Series A},
year = {2019},
volume = {81},
number = {3},
month = {August},
issn = {1223-7027},
pages = {67--76},
numpages = {9},
keywords = {frame in HilbertC∗-module; fusion frame; modular fusion frame; Reisz fusion basis.},
}
%0 Journal Article
%T THE CORRESPONDENCE OF FUSION FRAMES AND FRAMES IN AHILBERTC∗-MODULE: COUNSTRUCTION AND APPLICATION INMODULAR FUSION FRAMES
%A Mohammadpour, Mozhgan
%A Kamyabi Gol, Rajab Ali
%J UPB Scientific Bulletin, Series A
%@ 1223-7027
%D 2019
