STUDY ON OPERATOR REPRESENTATION OF FRAMES IN HILBERT SPACES

被引：0

作者：

Cheshmavar, Jahangir ^{[1
]}

Dallaki, Ayyaneh ^{[1
]}

机构：

[1] Payame Noor Univ PNU, Dept Math, POB 19395-3697, Tehran, Iran

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2023年 / 85卷 / 01期

关键词：

frames; operator representation of frames; spectrum; spectral radius; hy-percyclic operators;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to give an overview of the operator structure of frames {f(k)}(8)(k =1 )as {T(k)f}(8)(k=0), where the operator T : H?H belongs to certain classes of linear operators and the element f belongs to H. We discuss the size of the set of such elements. Also, for a given frame {f(k)}(8)(k =1) and any n ? N, some results are obtained for T-n({f(k)}(8)(k=1)) = {T(n)f(1), T(n)f(2), . . . }. Finally, we conclude this note by raising several questions connecting frame theory and operator theory.

引用

页码：35 / 42

页数：8

共 14 条

[1] Dynamical sampling [J].