Gel'fand Integration of B(E, F*)-Valued Functions With Emphasis on (q, p)-Summing Operators

Matija Milović; Stefan Milošević

doi:10.1007/s41980-025-01030-x

paper

Gel'fand Integration of B(E, F*)-Valued Functions With Emphasis on (q, p)-Summing Operators

arXiv:2604.22701 · doi:10.1007/s41980-025-01030-x

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 $(q, p)$ -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.