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

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

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

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

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

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

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

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

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...

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

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

2019). "Using principles from applied behavior analysis to address an undesired behavior: Functional analysis and treatment of jumping up in companion dogs"...

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...

In mathematics, particularly in functional analysis, the closed graph theorem is a result connecting the continuity of a linear operator to a topological...

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...

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

{\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...

there until his death in 1974. Nakano is known for his research in Functional Analysis,[original research?] especially in vector lattice and operator theory...

Wordless functional analysis is a method of musical analysis developed in the 1950s by the Austrian-born British musician and writer Hans Keller. The...

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

abbreviated TVS or t.v.s.) is one of the basic structures investigated in functional analysis. A topological vector space is a vector space that is also a topological...

accomplished. Functional requirements analysis will be used as the toplevel functions for functional analysis. Non-functional requirements are requirements that...

In functional analysis, a branch of mathematics, it is sometimes possible to generalize the notion of the determinant of a square matrix of finite order...

(functional analysis) Banach–Alaoglu theorem (functional analysis) Banach–Mazur theorem (functional analysis) Banach–Steinhaus theorem (functional analysis)...

In mathematics, specifically in order theory and functional analysis, the order topology of an ordered vector space ( X , ≤ ) {\displaystyle (X,\leq )}...

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