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Mathematics

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Algebra

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Algebra - Subfields

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Abstract Algebra - Modern Algebra - Structural Algebra

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Mathematical Spaces

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Mathematical Spaces - Types

Lp Spaces - Lebesgue Spaces (function space)

Created on Jun 17, 2023 · Last Modified on Aug 07, 2023

Lp Spaces - Lebesgue Spaces (𝐿𝑝)
  • is a type of mathematical space
  • is a type of functional quotient space
  • are function spaces defined using a natural generalization of the p-norm for finite-dimensional vector spaces
  • all 𝐿𝑝 are normed complete vector spaces
  • form an important class of Banach spaces in functional analysis and topological vector spaces
  • important in the mathematical analysis of measure spaces and probability spaces

Lp Spaces - Definition

TODO