TY - JOUR
ID - 401
TI - c-Frames and c-Bessel mappings
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Faroughi, M.
AU - Osgooei, E.
AD - Islamic Azad University
AD - University of Tabriz
Y1 - 2012
PY - 2012
VL - 38
IS - 1
SP - 203
EP - 222
KW - Lebesque integral
KW - Hilbert space
KW - C*-algebra
KW - trace class operator
KW - frame theory
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_401.html
L1 - http://bims.iranjournals.ir/article_401_8c30c121871d0918061a85cbc216a1ae.pdf
ER -