%0 Journal Article
%T A characterization of L-dual frames and L-dual Riesz bases
%J Bulletin of the Iranian Mathematical Society
%I Springer and the Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Ahmadi, A.
%A Askari Hemmat, A.
%D 2011
%\ 09/15/2011
%V 37
%N No. 3
%P 21-32
%! A characterization of L-dual frames and L-dual Riesz bases
%K Hyers-Ulam-Rassias stability
%K generalized
derivation
%K bounded central approximate identity
%K faithful Banach
algebra
%R
%X 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 $L^{2}(G)$.
%U http://bims.iranjournals.ir/article_349_e505bfd0f796940777bc05b6fd51c8f5.pdf