- adjoint space
- матем.сопряжённое пространство
English-Russian scientific dictionary. 2008.
adjoint space
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Adjoint functors — Adjunction redirects here. For the construction in field theory, see Adjunction (field theory). For the construction in topology, see Adjunction space. In mathematics, adjoint functors are pairs of functors which stand in a particular… … Wikipedia
Adjoint endomorphism — In mathematics, the adjoint endomorphism or adjoint action is an endomorphism of Lie algebras that plays a fundamental role in the development of the theory of Lie algebras and Lie groups.Given an element x of a Lie algebra mathfrak{g}, one… … Wikipedia
Adjoint representation — In mathematics, the adjoint representation (or adjoint action) of a Lie group G is the natural representation of G on its own Lie algebra. This representation is the linearized version of the action of G on itself by conjugation.Formal… … Wikipedia
Adjoint bundle — In mathematics, an adjoint bundle is a vector bundle naturally associated to any principal bundle. The fibers of the adjoint bundle carry a Lie algebra structure making the adjoint bundle into an algebra bundle. Adjoint bundles has important… … Wikipedia
Adjoint filter — In signal processing, the adjoint filter mask h^*of a filter mask his reversed in time and the elements are complex conjugated.:(h^*) k = overline{h { kIts name is derived from the fact, that the convolution with the adjoint filteris the adjoint… … Wikipedia
Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia
Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… … 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
Hermitian 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… … Wikipedia
Administrateur de la National Aeronautics and Space Administration — Major General Charles F. Bolden, Jr., NASA Administrator L Administrateur de la National Aeronautics and Space Administration est la plus haute fonction d un fonctionnaire de la National Aeronautics and Space Administration (NASA), l agence… … Wikipédia en Français
Dual space — In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces defined on finite dimensional vector spaces can be used for defining tensors… … Wikipedia
