5 papers
Finite-Branch Multipliers on a Hölder Algebra: Commutants, Norm Closures, and Essential Spectra
Hülya Duru, Serkan İlter, Arkady Kitover
Noninjective multiplication symbols allow commuting operators to mix function values along their fibers, while Hölder regularity constrains this mixing at branch points. We study t…
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…
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 f…
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…
Pre-Markov Operators
Hülya Duru, Serkan Ilter
A positive linear operator between two unital -algebras, with point separating order duals, and is called a Markov operator for which …