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

[1] SOME RESULTS ON FRAMES AND G-FRAMES
Sadri, Vahid
Ahmadi, Reza
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2018, 80 (04): : 99 - 108
[2] Some Results on Fusion Frames and g-Frames
Nguyen Quynh Nga
RESULTS IN MATHEMATICS, 2018, 73 (02)
[3] Some Results on Fusion Frames and g-Frames
Nguyen Quynh Nga
Results in Mathematics, 2018, 73
[4] SOME PROPERTIES ON G-FRAMES
Wang, Gang
Wang, Bao-Qin
Yuan, Li-Xia
Wang, Ya-Ling
PROCEEDINGS OF THE 2010 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, 2010, : 359 - 363
[5] G-FRAMES AND STABILITY OF G-FRAMES IN HILBERT SPACES
Najati, Abbas
Faroughi, M. H.
Rahimi, Asghar
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2008, 14 (03): : 271 - 286
[6] Fusion frames and g-frames
Khosravi, Amir
Musandeh, Kamran
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (02) : 1068 - 1083
[7] ON SOME PROPERTIES OF CONTINUOUS G-FRAMES AND RIESZ-TYPE CONTINUOUS G-FRAMES
Abdollahpour, Mohammad Reza
Khedmati, Yavar
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2017, 48 (01): : 59 - 74
[8] CONTINUOUS FRAMES AND G-FRAMES
Avazzadeh, S. H.
Kamyabi-Gol, R. A.
Tousi, R. Raisi
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2014, 40 (04) : 1047 - 1055
[9] G-frames as special frames
Askarizadeh, Abas
Dehghan, Mohammad Ali
TURKISH JOURNAL OF MATHEMATICS, 2013, 37 (01) : 60 - 70
[10] On some properties of continuous g-frames and Riesz-type continuous g-frames
Mohammad Reza Abdollahpour
Yavar khedmati
Indian Journal of Pure and Applied Mathematics, 2017, 48 : 59 - 74

← 1 2 3 4 5 →