TY - JOUR
ID - 22984
T1 - On an atomic decomposition in Banach spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
A1 - Gasymov, Telman
A1 - Hashimov, Chingiz
Y1 - 2018
PY - 2018/01/01
VL - 09
IS - 1
SP - 15
EP - 32
KW - $p$-frames
KW - $tilde{X}$-frames
KW - Conjugate systems to $tilde{X}$
DO - 10.22130/scma.2018.22984
N2 - An atomic decomposition is considered in Banach space. A method for constructing an atomic decomposition of Banach space, starting with atomic decomposition of subspaces is presented. Some relations between them are established. The proposed method is used in the study of the frame properties of systems of eigenfunctions and associated functions of discontinuous differential operators.
UR - http://scma.maragheh.ac.ir/article_22984.html
L1 - http://scma.maragheh.ac.ir/pdf_22984_651c11798bcd8c9dc55de818395c15bd.html
ER -