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What is Lp Spaces: Definitions and Properties about?

This document summarizes key concepts about L p spaces: - It defines L p spaces as generalizations of L1 spaces that contain measurable functions with finite p-norms for p between 0 and infinity. - It proves several properties of L p spaces including that they are vector spaces, the p-norm defines a norm for p ≥ 1, and L p spaces are complete normed spaces (Banach spaces). - It shows there are generally no inclusion relations between different L p spaces but some relations hold under certain conditions li

Author

Ramón Villanueva Loaiza

Language

EN