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...

In mathematics, particularly in functional analysis, the spectrum of a bounded linear operator (or, more generally, an unbounded linear operator) is a...

Functional analysis in behavioral psychology is the application of the laws of operant and respondent conditioning to establish the relationships between...

Functional linguistics is an approach to the study of language characterized by taking systematically into account the speaker's and the hearer's side...

least temporary conflict before reintegration (ibid). "The fact that functional analysis can be seen by some as inherently conservative and by others as inherently...

This is a list of functional analysis topics. See also: Glossary of functional analysis. Bra–ket notation Definite bilinear form Direct integral Euclidean...

integers. Examples of analysis without a metric include measure theory (which describes size rather than distance) and functional analysis (which studies topological...

In functional analysis, a state of an operator system is a positive linear functional of norm 1. States in functional analysis generalize the notion of...

In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem (named after Stefan Banach and Juliusz...

Functional principal component analysis (FPCA) is a statistical method for investigating the dominant modes of variation of functional data. Using this...

Functional data analysis (FDA) is a branch of statistics that analyses data providing information about curves, surfaces or anything else varying over...

factorial notation X! may be used for permutations of a single set X. In functional analysis, the same is seen for continuous linear transformations, including...

Nonlinear functional analysis is a branch of mathematical analysis that deals with nonlinear[disambiguation needed] mappings. Its subject matter includes:: 1–2 ...

{\displaystyle X} into the field of real or complex numbers. In functional analysis, the term linear functional is a synonym of linear form; that is, it is a scalar-valued...

on a Banach space X{\displaystyle X} is a fundamental concept of functional analysis. The spectrum consists of all scalars λ{\displaystyle \lambda } such...

The Journal of Functional Analysis is a mathematics journal published by Elsevier. Founded by Paul Malliavin, Ralph S. Phillips, and Irving Segal, its...

Geometric and Functional Analysis (GAFA) is a mathematical journal published by Birkhäuser, an independent division of Springer-Verlag. The journal is...

Dualist theories are documented from the 16th century onwards. The term 'functional harmony' derives from Hugo Riemann and, more particularly, from his Harmony...

Tonelli's theorem in functional analysis is a fundamental result on the weak lower semicontinuity of nonlinear[disambiguation needed] functionals on Lp spaces...

In mathematics, particularly in functional analysis and topology, the closed graph theorem is a result connecting the continuity of certain kinds of functions...

In functional analysis, the compression of a linear operator T on a Hilbert space to a subspace K is the operator P K T | K : K → K {\displaystyle P_{K}T\vert...

Functional magnetic resonance imaging or functional MRI (fMRI) measures brain activity by detecting changes associated with blood flow. This technique...

close relationship with other fields of mathematics, especially functional analysis and Diophantine approximation, the problem of finding rational numbers...

In mathematics, in the field of functional analysis, a Minkowski functional (after Hermann Minkowski) or gauge function is a function that recovers a...

designed to link the distribution and square-integrable aspects of functional analysis. Such spaces were introduced to study spectral theory in the broad...

computer science Functional analysis Linear functional, a type of functional often simply called a functional in the context of functional analysis Higher-order...

holomorphic function can be extended to the infinite-dimensional spaces of functional analysis. For instance, the Fréchet or Gateaux derivative can be used to define...

rather with reference to the functional relationships of the behavior in the environment in which it occurs. This analysis extends Ernst Mach's pragmatic...

Fourier Analysis: An Introduction; Complex Analysis; Real Analysis: Measure Theory, Integration, and Hilbert Spaces; and Functional Analysis: Introduction...

(Fourier analysis) Balinski's theorem (combinatorics) Banach–Alaoglu theorem (functional analysis) Banach–Mazur theorem (functional analysis) Banach fixed-point...