%0 Journal Article
%T $K$-orthonormal and $K$-Riesz Bases
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Ahmdi, Ahmad
%A Rahimi, Asghar
%D 2021
%\ 02/01/2021
%V 18
%N 1
%P 59-72
%! $K$-orthonormal and $K$-Riesz Bases
%K $K$-frame
%K Riesz basis
%K Orthonormal basis
%K Atomic system
%R 10.22130/scma.2020.130958.827
%X Let $K$ be a bounded operator. $K$-frames are ordinary frames for the range $K$. These frames are a generalization of ordinary frames and are certainly different from these frames. This research introduces a new concept of bases for the range $K$. Here we define theĀ $K$-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.
%U https://scma.maragheh.ac.ir/article_47114_8902cf1717995f11537b68de849abfb0.pdf