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arXiv · 2604.22701

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

Matija Milović·Stefan Milošević
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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.

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Matija Milović, Stefan Milošević. 2026-04-24. Gel'fand Integration of B(E, F*)-Valued Functions With Emphasis on (q, p)-Summing Operators. https://doi.org/10.1007/s41980-025-01030-x

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