Giulio Ascoli is an Italian mathematician known for his contributions in the fields of mathematics, particularly in functional analysis and related areas. He made significant contributions to the study of compact operators, spectral theory, and the foundations of functional analysis. Ascoli's work is often associated with the Ascoli-Arzelà theorem, which is a fundamental result in functional analysis and topology. The Ascoli-Arzelà theorem provides conditions under which a family of functions is relatively compact in the space of continuous functions.

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