TY - JOUR
ID - 349
TI - A characterization of L-dual frames and L-dual Riesz bases
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Ahmadi, A.
AU - Askari Hemmat, A.
AD -
Y1 - 2011
PY - 2011
VL - 37
IS - No. 3
SP - 21
EP - 32
KW - Hyers-Ulam-Rassias stability
KW - generalized
derivation
KW - bounded central approximate identity
KW - faithful Banach
algebra
DO -
N2 - This paper is an investigation of $L$-dual frames with respect
to a function-valued inner product, the so called $L$-bracket
product on $L^{2}(G)$, where G is a locally compact abelian group
with a uniform lattice $L$. We show that several well known theorems
for dual frames and dual Riesz bases in a Hilbert space
remain valid for $L$-dual frames and $L$-dual Riesz bases in $L^{2}(G)$.
UR - http://bims.iranjournals.ir/article_349.html
L1 - http://bims.iranjournals.ir/article_349_e505bfd0f796940777bc05b6fd51c8f5.pdf
ER -