Hülya Duru

activity

20112026

collaborators

6 papers

math.DS2026

Selections of Set-Valued Maps under Stieltjes Clocks: Regularity, Variation, and Atomic Structure

Serkan İlter, Hülya Duru, Seyit Koca

A Stieltjes clock allows effective time to advance continuously, remain unchanged over intervals, or jump. We study whether a compact-valued set-valued map evolving relative to a S…

math.CA2026

Super-g-Hölder Regularity in Stieltjes Dynamics: Atomic Structure, Exact Extremal Values, and Recovery of the Stieltjes Clock

Serkan İlter, Hülya Duru, Seyit Koca

Unlike ordinary time, a Stieltjes clock may advance continuously, remain constant over intervals, or jump. For an ordinary continuous clock, Hölder regularity with exponent $α > 1$ f…

math.GN2026

Hölder Selections under Stieltjes Clocks: Uniform Disconnectedness and Jump Dominance

Serkan İlter, Hülya Duru, Arkady Kitover +1

It is known that, for ordinary Hölder multifunctions with 0 < α < 1, Hölder regularity alone does not guarantee the existence of a Hölder selection, and in general even a continuou…

math.FA2018

Weak Markov Operators

Hulya Duru, Serlan Ilter

Let $A$ and $B$ be $f$ -algebras with unit elements $e_{A}$ and $e_{B}$ respectively. A positive operator $T$ from $A$ to $B$ satisfying $T (e_{A}) = e_{B}$ is called a Ma…

math.FA2018

Pre-Markov Operators

Hülya Duru, Serkan Ilter

A positive linear operator $T$ between two unital $f$ -algebras, with point separating order duals, $A$ and $B$ is called a Markov operator for which …

math.FA2011

Multiplication operators on vector-valued function spaces

Hulya Duru, Arkady Kitover, Mehmet Orhon

Let $E$ be a Banach function space on a probability measure space $(Ω, Σ, μ) .$ Let $X$ be a Banach space and $E (X)$ be the associated Köthe-Bochner space. An operator on $E (X)$ is ca…