Research article
The Selection Theory for Monotone Uniformly Equi-Bobtail Operators on Separable Hilbert Spaces
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 \(A^{M} \; :\; K\to H \).
How to cite
M. Yaremenko, The Selection Theory for Monotone Uniformly Equi-Bobtail Operators on Separable Hilbert Spaces, Pan-Amer. J. Math. 4 (2025), 5. https://doi.org/10.28919/cpr-pajm/4-5
BibTeX
@article{Yaremenko2025,
author = {Yaremenko, Mykola},
title = {The Selection Theory for Monotone Uniformly Equi-Bobtail Operators on Separable Hilbert Spaces},
journal = {Pan-Amer. J. Math.},
volume = {4},
year = {2025},
pages = {5},
doi = {10.28919/cpr-pajm/4-5}
}