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arXiv · 2306.03108

Continuous generalized atomic subspaces for operators in Hilbert spaces

Mohamed Rossafi·Fakhr-dine Nhari·Abdeslam Touri
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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.

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Mohamed Rossafi, Fakhr-dine Nhari, Abdeslam Touri. 2023-06-04. Continuous generalized atomic subspaces for operators in Hilbert spaces. https://arxiv.org/abs/2306.03108

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