On Some Properties of Measurable Functions in Abstract Spaces
Evgenii Borisenko, Oleg Zubelevich
TL;DR
This paper explores properties of measurable functions in abstract spaces, extending finite-dimensional differential inclusion results to infinite-dimensional settings.
Contribution
It introduces several infinite-dimensional theorems that generalize finite-dimensional differential inclusion properties.
Findings
Generalization of finite-dimensional differential inclusion theorems to infinite dimensions
New properties of measurable functions in abstract spaces
Framework for analyzing differential inclusions in infinite-dimensional spaces
Abstract
In this short note we present several infinite dimensional theorems which generalize corresponding facts from the finite dimensional differential inclusions theory.
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Taxonomy
TopicsAdvanced Banach Space Theory · Optimization and Variational Analysis · Fixed Point Theorems Analysis