OPERATOR BANACH FRAMES IN BANACH SPACES

被引：0

作者：

Shekhar, Chander ^{[1
]}

机构：

[1] Univ Delhi, Indraprastha Coll Women, Dept Math, Delhi 110007, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS | 2015年 / 6卷 / 03期

关键词：

Frames; Banach frames; atomic decomposition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Operator Banach frame (OBF) for Banach spaces have been defined as a generalization of the notion of Banach frame. Some results related to the construction of new OBFs have been given. Also, a sufficient condition for the finite sum of OBFs to be an OBF has been given. Finally, we discuss stability of OBFs and prove a result in this direction.

引用

页码：17 / 26

页数：10

共 12 条

[1] (p, Y)-operator frames for a Banach space [J].

Cao, Huai-Xin ;

Li, Lan ;

Chen, Qing-Jiang ;

Ji, Guo-Xing .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 347 (02) :583-591

[2]

Christensen O., 2016, INTRO FRAMES RIESZ B, V2nd edn.

[3] A CLASS OF NONHARMONIC FOURIER SERIES [J].

DUFFIN, RJ ;

SCHAEFFER, AC .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 72 (MAR) :341-366

[4]

FEICHTINGER HG, 1989, I J FUNCT ANAL, V86, P307

[5]

Grochenig K., 1991, MONATSH MATH, V112, P141

[6]

Jain PK, 2006, INDIAN J PURE AP MAT, V37, P265

[7] On perturbation of Banach frames [J].

Jain, P. K. ;

Kaushik, S. K. ;

Vashisht, L. K. .

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2006, 4 (03) :559-565

[8] ON NEAR EXACT BANACH FRAMES IN BANACH SPACES [J].

Jain, P. K. ;

Kaushik, S. K. ;

Gupta, Nisha .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 78 (02) :335-342

[9]

Jain P.K., 2009, INT J WAVELETS MULTI, V7, P1

[10]

Jain PK, 2004, Z ANAL ANWEND, V23, P713

← 1 2 →