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.
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页码：1 / 7
页数：7
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