Hilbert-Schmidt frames for operators, By Farkhondeh Takhteh

Research

Title	Hilbert-Schmidt frames for operators
Type	Presentation
Keywords	Frame, K-frame, Hilbert-Schmidt frame, Hilbert-Schmidt K-frame, Hilbert- Schmidt K-atomic system
Researchers	Farkhondeh Takhteh (First researcher)

Abstract

In this paper, we introduce Hilbert-Schmidt K-frames and Hilbert-Schmidt K-atomic systems, where K is a bounded operator on a Hilbert space and we study the relationship between these two concepts. Also, Hilbert-Schmidt K-frames are characterized in terms of a range inclusion property.