- invariant operator
- Математика: инвариантный оператор
Универсальный англо-русский словарь. Академик.ру. 2011.
invariant operator
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Invariant differential operators — appear often in mathematics and theoretical physics. There is no universal definition for them and the meaning of invariance may depend on the context. Usually, an invariant differential operator D is a map from some mathematical objects… … Wikipedia
Invariant subspace — In mathematics, an invariant subspace of a linear mapping : T : V rarr; V from some vector space V to itself is a subspace W of V such that T ( W ) is contained in W . An invariant subspace of T is also said to be T invariant.If W is T invariant … Wikipedia
Invariant subspace problem — In the field of mathematics known as functional analysis, one of the most prominent open problems is the invariant subspace problem, sometimes optimistically known as the invariant subspace conjecture. It is the question whether the following… … Wikipedia
Operator (physics) — In physics, an operator is a function acting on the space of physical states. As a result of its application on a physical state, another physical state is obtained, very often along with some extra relevant information. The simplest example of… … Wikipedia
Invariant factorization of LPDOs — IntroductionFactorization of linear ordinary differential operators (LODOs) is known to be unique and in general, it finally reduces to the solution of a Riccati equation [http://en.wikipedia.org/wiki/Riccati equation] , i.e. factorization of… … Wikipedia
Invariant (mathematics) — In mathematics, an invariant is a property of a class of mathematical objects that remains unchanged when transformations of a certain type are applied to the objects. The particular class of objects and type of transformations are usually… … Wikipedia
Operator theory — In mathematics, operator theory is the branch of functional analysis that focuses on bounded linear operators, but which includes closed operators and nonlinear operators. Operator theory also includes the study of algebras of operators. Contents … Wikipedia
Compact 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… … Wikipedia
Time-invariant system — A time invariant system is one whose output does not depend explicitly on time.:If the input signal x produces an output y then any time shifted input, t mapsto x(t + delta), results in a time shifted output t mapsto y(t + delta).Formal: If S is… … Wikipedia
Reflexive operator algebra — In functional analysis, a reflexive operator algebra A is an operator algebra that has enough invariant subspaces to characterize it. Formally, A is reflexive if it is equal to the algebra of bounded operators which leave invariant each subspace… … Wikipedia
Casimir invariant — In mathematics, a Casimir invariant or Casimir operator is a distinguished element of the centre of the universal enveloping algebra of a Lie algebra. A prototypical example is the squared angular momentum operator, which is a Casimir invariant… … Wikipedia
