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

[21] Weaving g-Frames and Weaving Fusion Frames
Amir Khosravi
Jamaleh Sohrabi Banyarani
Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 3111 - 3129
[22] Weaving g-Frames and Weaving Fusion Frames
Khosravi, Amir
Banyarani, Jamaleh Sohrabi
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (06) : 3111 - 3129
[23] ON THE APPROXIMATE DUALITY OF G-FRAMES AND FUSION FRAMES
Azandaryani, Morteza Mirzaee
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2017, 79 (02): : 83 - 94
[24] Fusion frames and G-frames in Banach spaces
Khosravi, Amir
Khosravi, Behrooz
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2011, 121 (02): : 155 - 164
[25] CHARACTEIZATIONS OF WOVEN g-FRAMES AND WEAVING g-FRAMES IN HILBERT SPACES AND C*-MODULES
Amir KHOSRAVI
Mohammad Reza FARMANI
ActaMathematicaScientia, 2023, 43 (06) : 2471 - 2482
[26] G-Frames, Fusion Frames and the Restricted Isometry Property
Asgari, Mohammad Sadegh
Kavian, Golsa
THAI JOURNAL OF MATHEMATICS, 2020, 18 (02): : 703 - 713
[27] CONSTRUCTION OF CONTINUOUS g-FRAMES AND CONTINUOUS FUSION FRAMES
Khayyami, Mahdiyeh
Nazari, Akbar
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2016, 4 (01): : 43 - 55
[28] Characteizations of woven g-frames and weaving g-frames in Hilbert spaces and C*-modules
Amir Khosravi
Mohammad Reza Farmani
Acta Mathematica Scientia, 2023, 43 : 2471 - 2482
[29] Characterizations of (near) exact g-frames, g-Riesz bases, and Besselian g-frames
Xiao, Xiangchun
Zbu, Yucan
Zhou, Guorong
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2019, 17 (05)
[30] Some properties of g-frames in Hilbert C*-modules
Xiao, Xiang-Chun
Zeng, Xiao-Ming
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 363 (02) : 399 - 408

← 1 2 3 4 5 →