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arXiv · 2401.01845

Hille's theorem for Bochner integrals of functions with values in locally convex spaces

T. J. Sullivan
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Abstract

Hille's theorem is a powerful classical result in vector measure theory. It asserts that the application of a closed, unbounded linear operator commutes with strong/Bochner integration of functions taking values in a Banach space. This note shows that Hille's theorem also holds in the setting of complete locally convex spaces.

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T. J. Sullivan. 2024-01-03. Hille's theorem for Bochner integrals of functions with values in locally convex spaces. https://doi.org/10.14321/realanalexch.49.2.1719547551

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