adjoint operator
21opérateur adjoint — jungtinis operatorius statusas T sritis fizika atitikmenys: angl. adjoint operator vok. adjungierter Operator, m rus. сопряжённый оператор, m pranc. opérateur adjoint, m …
22Position operator — In quantum mechanics, the position operator corresponds to the position observable of a particle. Consider, for example, the case of a spinless particle moving on a line. The state space for such a particle is L 2(R), the Hilbert space of complex …
23Closure operator — In mathematics, a closure operator on a set S is a function cl: P(S) → P(S) from the power set of S to itself which satisfies the following conditions for all sets X,Y ⊆ S. X ⊆ cl(X) (cl is extensive) X ⊆ Y implies cl(X) ⊆ cl(Y)   (cl… …
24Composition operator — For information about the operator ∘ of composition, see function composition and composition of relations. In mathematics, the composition operator Cϕ with symbol ϕ is a linear operator defined by the rule where denotes function composition. In… …
25Opérateur adjoint — En mathématiques l adjoint d un opérateur, quand il existe, est un nouvel opérateur défini sur un espace vectoriel sur le corps des nombres réels ou complexes, muni d un produit scalaire. Un tel espace est qualifié de préhilbertien. Si l… …
26Normal operator — In mathematics, especially functional analysis, a normal operator on a complex Hilbert space H (or equivalently in a C* algebra) is a continuous linear operator that commutes with its hermitian adjoint N*: Normal operators are important because… …
27Strong operator topology — In functional analysis, a branch of mathematics, the strong operator topology, often abbreviated SOT, is the weakest topology on the set of bounded operators on a Hilbert space (or, more generally, on a Banach space) such that the evaluation map… …
28Laplace operator — This article is about the mathematical operator. For the Laplace probability distribution, see Laplace distribution. For graph theoretical notion, see Laplacian matrix. Del Squared redirects here. For other uses, see Del Squared (disambiguation) …
29Laplace-Beltrami operator — In differential geometry, the Laplace operator can be generalized to operate on functions defined on surfaces, or more generally on Riemannian and pseudo Riemannian manifolds. This more general operator goes by the name Laplace Beltrami operator …
30Laplace-Beltrami operator/Proofs — div is adjoint to dThe claim is made that −div is adjoint to d ::int M df(X) ;omega = int M f , operatorname{div} X ;omega Proof of the above statement::int M (fmathrm{div}(X) + X(f)) omega = int M (fmathcal{L} X + mathcal{L} X(f)) omega :: = int …
