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Functional Analysis

Basic definition

Functional analysis is a branch of mathematics concerned with infinite-dimensional vector spaces and mappings between them.

Detailed definition

Functional analysis is a branch of mathematics concerned with infinite-dimensional vector spaces (mainly function spaces) and mappings between them. The spaces may be of different, and possibly infinite, dimensions. These mappings are called operators or, if the range is on the real line or in the complex plane, functionals.

Educational grade level

college level

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