SOME RELATIONSHIPS BETWEEN G-FRAMES AND FRAMES

被引：0

作者：

Rashidi-Kouchi, Mehdi ^{[1
]}

Nazari, Akbar ^{[2
]}

机构：

[1] Islamic Azad Univ, Kahnooj Branch, Dept Math, Kerman, Iran

[2] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Math, Kerman 7616914111, Iran

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2015年 / 2卷 / 01期

关键词：

Frame; G-frame; Hilbert C*-module; g-frame operator; Bounded operator;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we proved that every g-Riesz basis for Hilbert space H with respect to K by adding a condition is a Riesz basis for Hilbert B(K)-module B(H, K). This is an extension of [A. Askarizadeh, M. A. Dehghan, G-frames as special frames, Turk. J. Math., 35, (2011) 1-11]. Also, we derived similar results for g-orthonormal and orthogonal bases. Some relationships between dual frame, dual g-frame and exact frame and exact g-frame are presented too.

引用

页码：1 / 7

页数：7

共 50 条

[41] Block sequences and g-frames
Chugh, Renu
Sharma, S. K.
Goel, Shashank
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2015, 13 (02)
[42] Some Inequalities for g-Frames in Hilbert C*-Modules
Xiang, Zhong-Qi
MATHEMATICS, 2019, 7 (01):
[43] PERMUTATIONS AND WOVEN g-FRAMES
Askarizadeh, Abbas
Ahmadi, Ahmad
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2024, 54 (02) : 375 - 385
[44] Uniform excess of g-frames
Ahmadi, Ahmad
Askarizadeh, Abbas
GEORGIAN MATHEMATICAL JOURNAL, 2023, 30 (06) : 811 - 819
[45] G-Frames and Direct Sums
Khosravi, Amir
Azandaryani, M. Mirzaee
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (02) : 313 - 323
[46] Excess of a class of g-frames
Zang, Lili
Sun, Wenchang
Chen, Dianfa
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 352 (02) : 711 - 717
[47] New properties of phase-retrievable g-frames and exact phase-retrievable g-frames
He, Miao
Leng, Jinsong
Yu, Jiali
LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (19): : 4117 - 4132
[48] G-FRAMES AND OPERATOR VALUED -FRAMES IN HILBERT C*-MODULES
Hosseini, Sedighe
Khosravi, Amir
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2011, 17 (01): : 10 - 19
[49] Operator Characterizations and Some Properties of g-Frames on Hilbert Spaces
Guo, Xunxiang
JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
[50] G-Frames Generated by Iterated Operators
Rahmani, Morteza
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2023, 20 (04): : 243 - 260

← 1 2 3 4 5 →