Daniel Akech Thiong

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20222026

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math.FA2026

$H$ -Operator Approximation Spaces via Delayed Riesz Means and Quasi-Banach Moduli

Daniel Akech Thiong

We establish a constructive and quasi-Banach framework for approximation spaces $A_{μ}^{ρ}$ of compact $H$ -operators between Banach and quasi-Banach spaces. By leveraging delayed Riesz…

math.FA2026

Local Reflexivity and Duality for Subspace Approximation Schemes

Daniel Akech Thiong

We address a structural gap in the quantitative theory of operator approximation by investigating how subspace approximation schemes interact with local reflexivity. Recent literat…

math.AP2026

Measuring the Infinite: Interpolation Theory, Lorentz Spaces, and Dispersive PDEs

Asuman Güven Aksoy, Daniel Akech Thiong

This article explores the vital role of interpolation theory and Lorentz spaces in the rigorous analysis of linear operators. While classical Lebesgue spaces ( $L_{p}$ ) successfully…

H-Operator Approximation Spaces via Delayed Riesz Means and Quasi-Banach Moduli

Local Reflexivity and Duality for Subspace Approximation Schemes

Measuring the Infinite: Interpolation Theory, Lorentz Spaces, and Dispersive PDEs

$H$ -Operator Approximation Spaces via Delayed Riesz Means and Quasi-Banach Moduli