High Quality Content by WIKIPEDIA articles! The Pompeiu–Hausdorff distance is named after Dimitrie Pompeiu and Felix Hausdorff. In mathematics, Banach spaces are one of the central objects of study in functional analysis. Many of the infinite-dimensional function spaces studied in analysis are Banach spaces, including spaces of continuous functions (continuous functions on a compact Hausdorff space), spaces of Lebesgue integrable functions known as Lp spaces, and spaces of holomorphic functions known as Hardy spaces. They are the most commonly used topological vector spaces, and their topology comes from a norm.

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