Discrete Translates of an Operator in the Schatten p-Classes

2023/11/28 by Bhawna Dharra, Dharra, Bhawna, Sivananthan, S. +2
Mathematics · #Mathematical Analysis and Transform Methods #Holomorphic and Operator Theory #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.2311.16757

Abstract

In this manuscript, we investigate the properties of systems formed by translations of an operator in the Schatten p-classes T^p. We establish the existence of Schauder frames of integer translates in T^p for p>2. Later, we provide an instance of a uniformly discrete Λ⊂ ℝ^2d such that there exists an operator whose Λ-translates are complete in T^p for all p>1.

Related

• Schauder frames of discrete translates in L^p(ℝ)
• Schauder frames of discrete translates in L²(ℝ)
• Existence of Unconditional Frames Formed By System of Translates in Modulation Spaces
• Completeness of uniformly discrete translates in L^p(ℝ)
• Frames and operators in Schatten classes