adjoint operator
11Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… …
12Differential operator — In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation, accepting a function and returning… …
13Hermitian adjoint — In mathematics, specifically in functional analysis, each linear operator on a Hilbert space has a corresponding adjoint operator. Adjoints of operators generalize conjugate transposes of square matrices to (possibly) infinite dimensional… …
14Ornstein–Uhlenbeck operator — Not to be confused with Ornstein–Uhlenbeck process. In mathematics, the Ornstein–Uhlenbeck operator can be thought of as a generalization of the Laplace operator to an infinite dimensional setting. The Ornstein–Uhlenbeck operator plays a… …
15Self-adjoint — In mathematics, an element x of a star algebra is self adjoint if x^*=x.A collection C of elements of a star algebra is self adjoint if it is closed under the involution operation. For example, if x^*=y then since y^*=x^{**}=x in a star algebra,… …
16Discrete Laplace operator — For the discrete equivalent of the Laplace transform, see Z transform. In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For the case of a… …
17Multiplication operator — In operator theory, a multiplication operator is a linear operator T defined on some vector space of functions and whose value at a function φ is given by multiplication by a fixed function f. That is, for all φ in the function space and all x in …
18Affiliated operator — In mathematics, affiliated operators were introduced by Murray and von Neumann in the theory of von Neumann algebras as a technique for using unbounded operators to study modules generated by a single vector. Later Atiyah and Singer showed that… …
19Almost Mathieu operator — In mathematical physics, the almost Mathieu operator arises in the study of the quantum Hall effect. It is given by: [H^{lambda,alpha} omega u] (n) = u(n+1) + u(n 1) + 2 lambda cos(2pi (omega + nalpha)) u(n), , acting as a self adjoint operator… …
20adjungierter Operator — jungtinis operatorius statusas T sritis fizika atitikmenys: angl. adjoint operator vok. adjungierter Operator, m rus. сопряжённый оператор, m pranc. opérateur adjoint, m …
