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

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