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 -