usual inner product
1Commutation theorem — In mathematics, a commutation theorem explicitly identifies the commutant of a specific von Neumann algebra acting on a Hilbert space in the presence of a trace. The first such result was proved by F.J. Murray and John von Neumann in the 1930s… …
2Cartan connection applications — This page covers applications of the Cartan formalism. For the general concept see Cartan connection.Vierbeins, et cetera The vierbein or tetrad theory much used in theoretical physics is a special case of the application of Cartan connection in… …
3Reproducing 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 …
4Plane (geometry) — Two intersecting planes in three dimensional space In mathematics, a plane is a flat, two dimensional surface. A plane is the two dimensional analogue of a point (zero dimensions), a line (one dimension) and a space (three dimensions). Planes can …
5Dissipative operator — In mathematics, a dissipative operator is a linear operator A defined on a linear subspace D(A) of Banach space X, taking values in X such that for all λ > 0 and all x ∈ D(A) A dissipative operator is called maximally… …
6Jordan algebra — In mathematics, a Jordan algebra is defined in abstract algebra as a (usually nonassociative) algebra over a field with multiplication satisfying the following axioms:# xy = yx (commutative law) # (xy)(xx) = x(y(xx)) (Jordan identity)The product… …
7Brauer's theorem on induced characters — Brauer s theorem on induced characters, often known as Brauer s induction theorem, and named after Richard Brauer, is a basic result in the branch of mathematics known as character theory, which is, in turn, part of the representation theory of a …
8Dual wavelet — In mathematics, a dual wavelet is the dual to a wavelet. In general, the wavelet series generated by a square integrable function will have a dual series, in the sense of the Riesz representation theorem. However, the dual series is not in… …
9Classical group — For the book by Weyl, see The Classical Groups. Lie groups …
10Lumer-Phillips theorem — In mathematics, the Lumer Phillips theorem is a result in the theory of semigroups that gives a sufficient condition for a linear operator in a Hilbert space to generate a quasicontraction semigroup.tatement of the theoremLet ( H , lang; , rang;) …
