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
Controlled invariant subspace — In control theory, a controlled invariant subspace of the state space representation of some system is a subspace such that, if the state of the system is initially in the subspace, it is possible to control the system so that the state is in the … 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
sous-espace invariant — invariantinis poerdvis statusas T sritis fizika atitikmenys: angl. invariant subspace vok. invarianter Unterraum, m rus. инвариантное подпространство, n pranc. sous espace invariant, m … Fizikos terminų žodynas
Hopf invariant — In mathematics, in particular in algebraic topology, the Hopf invariant is a homotopy invariant of certain maps between spheres. toc Motivation In 1931 Heinz Hopf used Clifford parallels to construct the Hopf map etacolon S^3 o S^2, and proved… … Wikipedia
Per Enflo — Born 1944 Stockholm, Sweden … Wikipedia
Jordan normal form — In linear algebra, a Jordan normal form (often called Jordan canonical form)[1] of a linear operator on a finite dimensional vector space is an upper triangular matrix of a particular form called Jordan matrix, representing the operator on some… … 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
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