norm of functional
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Norm (mathematics) — This article is about linear algebra and analysis. For field theory, see Field norm. For ideals, see Norm of an ideal. For group theory, see Norm (group). For norms in descriptive set theory, see prewellordering. In linear algebra, functional… … Wikipedia
Functional analysis — For functional analysis as used in psychology, see the functional analysis (psychology) article. Functional analysis is the branch of mathematics, and specifically of analysis, concerned with the study of vector spaces and operators acting upon… … Wikipedia
Functional (mathematics) — In mathematics, a functional is traditionally a map from a vector space to the field underlying the vector space, which is usually the real numbers. In other words, it is a function that takes a vector as its argument or input and returns a… … Wikipedia
norm — normless, adj. /nawrm/, n. 1. a standard, model, or pattern. 2. general level or average: Two cars per family is the norm in most suburban communities. 3. Educ. a. a designated standard of average performance of people of a given age, background … Universalium
Norm (group) — In mathematics, in the field of group theory, the norm of a group is the intersection of the normalizers of all its subgroups. This is also termed the Baer norm, after Reinhold Baer. The following facts are true for the Baer norm: It is a… … Wikipedia
Holomorphic functional calculus — In mathematics, holomorphic functional calculus is functional calculus with holomorphic functions. That is to say, given a holomorphic function fnof; of a complex argument z and an operator T , the aim is to construct an operator:f(T),which in a… … Wikipedia
Decomposition of spectrum (functional analysis) — In mathematics, especially functional analysis, the spectrum of an operator generalizes the notion of eigenvalues. Given an operator, it is sometimes useful to break up the spectrum into various parts. This article discusses a few examples of… … Wikipedia
List of functional analysis topics — This is a list of functional analysis topics, by Wikipedia page. Contents 1 Hilbert space 2 Functional analysis, classic results 3 Operator theory 4 Banach space examples … Wikipedia
Minkowski functional — In functional analysis, given a linear space X, a Minkowski functional is a device that uses the linear structure to introduce a topology on X. Contents 1 Motivation 1.1 Example 1 1.2 Example 2 2 … Wikipedia
Dual norm — The concept of a dual norm arises in functional analysis, a branch of mathematics. Let X be a Banach space with norm . Then the dual space X* is the collection of all continuous linear functionals from X into the base field (which is either R or… … Wikipedia
T-norm fuzzy logics — are a family of non classical logics, informally delimited by having a semantics which takes the real unit interval [0, 1] for the system of truth values and functions called t norms for permissible interpretations of conjunction. They are mainly … Wikipedia