Multi-Frame Vectors for Unitary Systems in Hilbert C*-modules

被引：1

作者：

Mahmoudieh, Mohammad ^{[1
]}

Hosseinnezhad, Hessam ^{[1
]}

Tabadkan, Gholamreza Abbaspour ^{[1
]}

机构：

[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2019年 / 15卷 / 01期

关键词：

Multi-frame vector; Wandering vector; Local commutant; Unitary system; FRAMES;

D O I：

10.22130/scma.2018.77908.356

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we focus on the structured multi-frame vectors in Hilbert C*- modules. More precisely, it will be shown that the set of all complete multi-frame vectors for a unitary system can be parameterized by the set of all surjective operators, in the local commutant. Similar results hold for the set of all complete wandering vectors and complete multi-Riesz vectors, when the surjective operator is replaced by unitary and invertible operators, respectively. Moreover, we show that new multi-frames (resp. multi-Riesz bases) can be obtained as linear combinations of known ones using coefficients which are operators in a certain class.

引用

页码：1 / 18

页数：18