Gel'fand Integration of B(E, F*)-Valued Functions With Emphasis on (q, p)-Summing Operators
Functional Analysis
2026-04-27 v1
Abstract
We generalize results concerning Gel'fand integration of functions taking values in the space of operators on Hilbert spaces to certain Banach spaces. Building on ideas from \cite{M24} we provide sufficient conditions for the Gel'fand integral to be -summing and we use the developed techniques to answer a question posed in the mentioned article. Applications to positive operator-valued functions between certain function spaces are also given.
Keywords
Cite
@article{arxiv.2604.22701,
title = {Gel'fand Integration of B(E, F*)-Valued Functions With Emphasis on (q, p)-Summing Operators},
author = {Matija Milović and Stefan Milošević},
journal= {arXiv preprint arXiv:2604.22701},
year = {2026}
}