- self-adjoint algebra
- мат. самосопряженная алгебра
Большой англо-русский и русско-английский словарь. 2001.
self-adjoint algebra
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Self-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,… … Wikipedia
*-algebra — * ring= In mathematics, a * ring is an associative ring with a map * : A rarr; A which is an antiautomorphism, and an involution.More precisely, * is required to satisfy the following properties: * (x + y)^* = x^* + y^* * (x y)^* = y^* x^* * 1^* … Wikipedia
C*-algebra — C* algebras (pronounced C star ) are an important area of research in functional analysis, a branch of mathematics. The prototypical example of a C* algebra is a complex algebra A of linear operators on a complex Hilbert space with two additional … Wikipedia
Jordan algebra — In mathematics, a Jordan algebra is defined in abstract algebra as a (usually nonassociative) algebra over a field with multiplication satisfying the following axioms:# xy = yx (commutative law) # (xy)(xx) = x(y(xx)) (Jordan identity)The product… … Wikipedia
Von Neumann algebra — In mathematics, a von Neumann algebra or W* algebra is a * algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. They were originally introduced by John von Neumann,… … Wikipedia
Operator algebra — In functional analysis, an operator algebra is an algebra of continuous linear operators on a topological vector space with the multiplication given by the composition of mappings. Although it is usually classified as a branch of functional… … Wikipedia
Finite dimensional von Neumann algebra — In mathematics, von Neumann algebras are self adjoint operator algebras that are closed under a chosen operator topology. When the underlying Hilbert space is finite dimensional, the von Neumann algebra is said to be a finite dimensional von… … 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
Projection (linear algebra) — Orthogonal projection redirects here. For the technical drawing concept, see orthographic projection. For a concrete discussion of orthogonal projections in finite dimensional linear spaces, see vector projection. The transformation P is the… … Wikipedia
Approximately finite dimensional C*-algebra — In C* algebras, an approximately finite dimensional, or AF, C* algebra is one that is the inductive limit of a sequence of finite dimensional C* algebras. Approximate finite dimensionality was first defined and described combinatorially by… … Wikipedia
Super-Poincare algebra — In theoretical physics, a super Poincaré algebra is an extension of the Poincaré algebra to incorporate supersymmetry, a relation between bosons and fermions. They are examples of supersymmetry algebras, and hence are Lie superalgebra. Thus a… … Wikipedia
