definite+space
11Positive definite function on a group — In operator theory, a positive definite function on a group relates the notions of positivity, in the context of Hilbert spaces, and algebraic groups. It can be viewed as a particular type of positive definite kernel where the underlying set has… …
12Reproducing kernel Hilbert space — In functional analysis (a branch of mathematics), a reproducing kernel Hilbert space is a Hilbert space of functions in which pointwise evaluation is a continuous linear functional. Equivalently, they are spaces that can be defined by reproducing …
13Positive-definite matrix — In linear algebra, a positive definite matrix is a matrix that in many ways is analogous to a positive real number. The notion is closely related to a positive definite symmetric bilinear form (or a sesquilinear form in the complex case). The… …
14Minkowski space — A diagram of Minkowski space, showing only two of the three spacelike dimensions. For spacetime graphics, see Minkowski diagram. In physics and mathematics, Minkowski space or Minkowski spacetime (named after the mathematician Hermann Minkowski)… …
15Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …
16Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …
17Fock space — The Fock space is an algebraic system (Hilbert space) used in quantum mechanics to describe quantum states with a variable or unknown number of particles. It is named for V. A. Fock.Technically, the Fock space is the Hilbert space made from the… …
18Pseudo-Euclidean space — A pseudo Euclidean space is a finite dimensional real vector space together with a non degenerate indefinite quadratic form. Such a quadratic form can, after a change of coordinates, be written as : q(x) = left(x 1^2+cdots + x k^2 ight) left(x… …
19Semi-Hilbert space — In mathematics, a semi Hilbert space is a generalization of a Hilbert space in functional analysis, in which, roughly speaking, the inner product is required only to be positive semi definite rather than positive definite, so that it gives rise… …
20Color space — A comparison of the chromaticities enclosed by some color spaces. A color model is an abstract mathematical model describing the way colors can be represented as tuples of numbers, typically as three or four values or color components (e.g. RGB… …
