Continuous generalized atomic subspaces for operators in Hilbert spaces

2023/06/04 by Rossafi, Mohamed, Nhari, Fakhr-dine, Touri, Abdeslam
#41A58 #42C15 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2306.03108

Abstract

In this paper, we introduce the concept of continuous g-atomic subspace for a bounded linear operator and gives several useful continuous resolution of the identity operator on a Hilbert space by implies the theory of continuous g-fusion frames. Moreover, we introduce the concept of continuous frame operator for a pair of continuous g-fusion bessel sequences.

Related

• Continuous controlled generalized fusion frames in Hilbert spaces
• Atomic subspaces for operators
• Continuous bi-g-frames for operators in Hilbert spaces
• Fusion frames for operators and atomic systems
• Weaving continuous generalized frames for operators