TY - JOUR
ID - 206
TI - G-frames and their duals for Hilbert C*-modules
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Alijani, Azadeh
AU - Dehghan, Mohammad Ali
AD - Ph.D student of Vali-e-Asr University
AD - Staff of Vali-e-Asr university
Y1 - 2012
PY - 2012
VL - 38
IS - 3
SP - 567
EP - 580
KW - dual g-frame
KW - g-Bessel sequence
KW - g-frame
KW - Hilbert C*-module
DO -
N2 - Abstract. Certain facts about frames and generalized frames (g- frames) are extended for the g-frames for Hilbert C*-modules. It is shown that g-frames for Hilbert C*-modules share several useful properties with those for Hilbert spaces. The paper also character- izes the operators which preserve the class of g-frames for Hilbert C*-modules. Moreover, a necessary and suffcient condition is ob- tained for an operator T whose corresponding singleton set {T} to be a g-frame. Finally, some characterizations of dual g-frames for Hilbert spaces and Hilbert C*-modules are given.
UR - http://bims.iranjournals.ir/article_206.html
L1 - http://bims.iranjournals.ir/article_206_9ada6846e5a0d425c990156f9766f580.pdf
ER -