TY - JOUR
ID - 22984
TI - On an atomic decomposition in Banach spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Gasymov, Telman
AU - Hashimov, Chingiz
AD - Department of Non-harmonic analysis,Institute of Mathematics and
Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
AD - Ganja State University, Ganja, Azerbaijan.
Y1 - 2018
PY - 2018
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/article_22984_651c11798bcd8c9dc55de818395c15bd.pdf
ER -