The Selection Theory for Monotone Uniformly Equi-Bobtail Operators on Separable Hilbert Spaces
Year: 2025
Type: article
Abstract: We establish that a uniformly bounded infinite system \(\left\{A_{\alpha } \right\}\) of monotone, uniformly continuous, uniformly equi-bobtail operators \(A_{\alpha } \; :\; K\to H\) on the separable Hilbert space admits a convergent subsequence \(\left\{A_{n} \right\}\subset \left\{A_{\alpha } \right\}\) and show that limit of this subsequence is a monotone operator \(A^{M} \; :\; K\to H \).
Author: Mykola Yaremenko
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4407100221