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.FA2023

Equality in Degrees of Compactness: Schauder's Theorem and s-numbers

Asuman Güven Aksoy, Daniel Akech Thiong

We investigate an extension of Schauder's theorem by studying the relationship between various $s$ -numbers of an operator $T$ and its adjoint $T^{*}$ . We have three main results. Fir…

math.FA2022

Schauder's Theorem and s-Numbers

Asuman Guven Aksoy, Daniel Akech Thiong

Motivated by the well known theorem of Schauder, we study the relationship between various s-numbers of an operator T and its adjoint T* between Banach spaces.

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

Local Reflexivity and Duality for Subspace Approximation Schemes

Equality in Degrees of Compactness: Schauder's Theorem and s-numbers

Schauder's Theorem and s-Numbers

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