functional analysis

Branch of mathematical analysis concerned with infinite-dimensional topological vector spaces, often spaces of functions

Entitybranch of mathematics mathematical theoryQ190549

Instance of: branch of mathematics
, mathematical theory
Subclass of: branch of mathematics
, pure mathematics
Part of: mathematical analysis

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure and the linear functions defined on these spaces and suitably respecting these structures. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining, for example, continuous or unitary operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations.

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52 statements · 15% with external sources · numbers in brackets are citations

Classification of Instructional Programs code: 27.0103
ACM Classification Code (2012): 10003736
Members / parts: operator algebra
Different from: functional analysis

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39 identifiers linking functional analysis across the web's reference databases

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Source last edited August 3, 2026. AIDB refreshes this page daily.

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AIDB. (2026). functional analysis (Q190549). Retrieved from https://aidb.si/e/functional-analysis-Q190549