On an atomic decomposition in Banach spaces

被引:0
作者
Gasymov, Telman [1 ]
Hashimov, Chingiz [2 ]
机构
[1] NAS Azerbaijan, Dept Nonhormon Anal, Inst Math & Mech, Baku, Azerbaijan
[2] Ganja State Univ, Ganja, Azerbaijan
来源
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2018年 / 9卷 / 01期
关键词
p-frames; X-frames; Conjugate systems to X;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:15 / 32
页数:18
相关论文
共 33 条
[1]  
ATKINSON FV, 1968, DISCRETE CONTINUOUS
[2]  
Bilalov B. T., 2007, T NAS AZERB, VXXVII, P53
[3]  
Bilalov B. T., 2005, P IMM NASA, VXXII, P23
[4]  
Bilalov B. T., 2001, DOKL RAN, V379, P7
[5]  
Bilalov B.T., 2003, DIFF EQUAT+, V39, P619
[6]  
Bilalov B.T, 2012, DOKL ACAD NAUK, VLXVIII, P14
[7]  
Bilalov B, 2015, COMPLEX ANAL OPER TH, V9, P1609, DOI 10.1007/s11785-014-0416-9
[8]   On the Frame Properties of Degenerate System of Sines [J].
Bilalov, Bilal ;
Guliyeva, Fatima .
JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
[9]  
Bilalov BT, 2014, PROC INST MATH MECH, V40, P97
[10]  
Bilalov BT, 1999, DOKL AKAD NAUK+, V365, P7