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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
K-orthonormal and K-Riesz Bases
Type
JournalPaper
Keywords
K-frame, Riesz basis,Orthonormal basis,Atomic system
Year
2020
Journal Sahand Communications in Mathematical Analysis
DOI
Researchers Ahmad Ahmadi ، Asghar Rahimi

Abstract

Let K be a bounded operator. K-frames are ordinary frames for the range K. These frames are a generalization of or- dinary frames and are certainly different from these frames.This research introduces a new concept of bases fortherange K. Here we define the K-orthonormal basis and the K-Riesz basis, and then we describe their properties.As might be expected,the K-bases differ from the ordinary ones mentioned in this article.