@article {
author = {Faroughi, M. and Osgooei, E.},
title = {c-Frames and c-Bessel mappings},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {38},
number = {1},
pages = {203-222},
year = {2012},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {The theory of c-frames and c-Bessel mappings are the generalizationsof the theory of frames and Bessel sequences. In this paper, weobtain several equivalent conditions for dual of c-Bessel mappings.We show that for a c-Bessel mapping $f$, a retrievalformula with respect to a c-Bessel mapping $g$ is satisfied if andonly if $g$ is sum of the canonical dual of $f$ with a c-Besselmapping which weakly belongs to the null space of the pre-frame operatorof $f$. Also, we prove that composition of pre-frame operator withanalysis operator of two square norm integrable c-Bessel mappingsare trace class operators.},
keywords = {Lebesque integral,Hilbert space,C*-algebra,trace class operator,frame theory},
url = {http://bims.iranjournals.ir/article_401.html},
eprint = {http://bims.iranjournals.ir/article_401_8c30c121871d0918061a85cbc216a1ae.pdf}
}