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...

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

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...

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

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

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...

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 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...

{\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...

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

professor at Stanford University, specializing in harmonic analysis and functional analysis. Born in Chicago, Illinois, he attended the Illinois Institute...

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

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

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

This is a glossary for the terminology in a mathematical field of functional analysis. Throughout the article, unless stated otherwise, the base field...

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

harmonic analysis, but is perhaps closer in spirit to representation theory and functional analysis. One of the most modern branches of harmonic analysis, having...

mathematics, Tonelli's theorem in functional analysis is a fundamental result on the weak lower semicontinuity of nonlinear functionals on Lp spaces. As such, it...

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

by problems of statistical physics. Functional analysis is the branch of mathematics, and specifically of analysis, concerned with the study of vector...

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. They bring...

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

} Linear functionals first appeared in functional analysis, the study of vector spaces of functions. A typical example of a linear functional is integration:...