separable Körpererweiterung — separable Körper|erweiterung, Algebra: ein Erweiterungskörper L des Körpers K, in dem jedes Element a ∈ K separabel ist (separables Element) … Universal-Lexikon
Separable polynomial — In mathematics, two slightly different notions of separable polynomial are used, by different authors. According to the most common one, a polynomial P(X) over a given field K is separable if all its roots are distinct in an algebraic closure of… … Wikipedia
Separable sigma algebra — In mathematics, sigma; algebras are usually studied in the context of measure theory. A separable sigma; algebra (or separable sigma; field) is a sigma algebra that can be generated by a countable collection of sets. To learn what is meant by the … Wikipedia
Separable extension — In mathematics, an algebraic field extension L / K is separable if it can be generated by adjoining to K a set each of whose elements is a root of a separable polynomial over K . In that case, each beta; in L has a separable minimal polynomial… … Wikipedia
Álgebra de Borel — En matemáticas, el álgebra de Borel (más correctamente, σ álgebra de Borel, también llamada boreliana) sobre un espacio topológico X es una σ álgebra de subconjuntos de X asociada a la topología de X. En la literatura matemática se pueden… … Wikipedia Español
Separable σ-Algebra — In der Maßtheorie wird eine σ Algebra als separabel bezeichnet, wenn sie aus einer abzählbaren Anzahl von Mengen erzeugt werden kann. Beispiel Die Borel schen σ Algebren sind separabel, denn sie werden von den Quadern mit rationalen Endpunkten… … Deutsch 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
Spectrum of a C*-algebra — The spectrum of a C* algebra or dual of a C* algebra A, denoted Â, is the set of unitary equivalence classes of irreducible * representations of A. A * representation π of A on a Hilbert space H is irreducible if, and only if, there is no closed… … Wikipedia
Abelian von Neumann algebra — In functional analysis, an Abelian von Neumann algebra is a von Neumann algebra of operators on a Hilbert space in which all elements commute. The prototypical example of an abelian von Neumann algebra is the algebra L^infty(X,mu) for μ a σ… … 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
