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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.

    Related terms

    functional | functional equation | generalized function | operator

    Educational grade level

    college level

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