von Neumann-Schatten Dual Frames and their Perturbations

被引：18

作者：

Arefijamaal, Ali Akbar ^{[1
]}

Sadeghi, Ghadir ^{[1
]}

机构：

[1] Hakim Sabzevari Univ, Dept Math & Comp Sci, Sabzevar, Iran

来源：

RESULTS IN MATHEMATICS | 2016年 / 69卷 / 3-4期

关键词：

von Neumann-Schatten operator; dual frame; perturbation;

D O I：

10.1007/s00025-015-0522-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the dual of a von Neumann-Schatten p-frames in separable Banach spaces and obtain some of their characterizations. Moreover, we present a classical perturbation result to von Neumann-Schatten p-frames.

引用

页码：431 / 441

页数：11

共 18 条

[1] CONTINUOUS FRAMES IN HILBERT-SPACE [J].

ALI, ST ;

ANTOINE, JP ;

GAZEAU, JP .

ANNALS OF PHYSICS, 1993, 222 (01) :1-37

[2] Frames in 2-inner Product Spaces [J].

Arefijamaal, Ali Akbar ;

Sadeghi, Ghadir .

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2013, 8 (02) :123-130

[3] Frames and bases of subspaces in Hilbert spaces [J].

Asgari, MS ;

Khosravi, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 308 (02) :541-553

[4] Generalized frames and their redundancy [J].

Askari-Hemmat, A ;

Dehghan, MA ;

Radjabalipour, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (04) :1143-1147

[5]

Casazza P. G., 2004, Contempt. Math., V345, P87, DOI [10.1090/conm/345/06242, DOI 10.1090/conm/345/06242]

[6]

Casazza PG., 1999, CONT MATH, V247, P149, DOI DOI 10.1090/C0NM/247/03801.MR1738089

[7] Perturbation of operators and applications to frame theory [J].

Cazassa, PG ;

Christensen, O .

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1997, 3 (05) :543-557

[8] p-frames in separable Banach spaces [J].

Christensen, O ;

Stoeva, DT .

ADVANCES IN COMPUTATIONAL MATHEMATICS, 2003, 18 (2-4) :117-126

[9] Oblique dual frames and shift-invariant spaces [J].

Christensen, O ;

Eldar, YC .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2004, 17 (01) :48-68

[10]

Conway J.B., 1985, A Course in Functional Analysis, V96

← 1 2 →