• Discretization of Continuous Frame

• Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/122/02/0189-0202

• Keywords

Bounded operator; Hilbert space; continuous frame; atomic resolution of identity.

• Abstract

In this paper we consider the notion of continuous frame of subspaces and define a new concept of continuous frame, entitled continuous atomic resolution of identity, for arbitrary Hilbert space $\mathcal{H}$ which has a countable reconstruction formula. Among the other results, we characterize the relationship between this new concept and other known continuous frames. Finally, we state and prove the assertions of the stability of perturbation in this concept.

• Author Affiliations

1. Department of Mathematics, Razi University, Kermanshah, Iran
2. Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran

• Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• Editorial Note on Continuous Article Publication

Posted on July 25, 2019