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Banach algebra

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  • Banach-Algebra — berührt die Spezialgebiete Mathematik Topologie Abstrakte Algebra Lineare Algebra Funktionalanalysis ist Spezialfall von Abels …   Deutsch Wikipedia

  • Banach algebra — In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A over the real or complex numbers which at the same time is also a Banach space. The algebra multiplication and the Banach… …   Wikipedia

  • Banach algebra cohomology — In mathematics, Banach algebra cohomology of a Banach algebra with coefficients in a bimodule is defined in a similar way to Hochschild cohomology of an abstract algebra, except that one takes the topology into account so that all cohains and so… …   Wikipedia

  • banach algebra — ˈbäˌnäḵ , nək noun Usage: usually capitalized B Etymology: after Stefan Banach died 1945 Pol. mathematician : a linear algebra over the field of real or complex numbers that is also a Banach space for which the norm of the product of x and y is… …   Useful english dictionary

  • Amenable Banach algebra — A Banach algebra, A , is amenable if all bounded derivations from A into dual Banach A bimodules are inner (that is of the form amapsto a.x x.a for some x in the dual module).An equivalent characterization is that A is amenable if and only if it… …   Wikipedia

  • Algebra (disambiguation) — Algebra is a branch of mathematics.Algebra may also mean: * elementary algebra * abstract algebra * linear algebra * universal algebra * computer algebraIn addition, many mathematical objects are known as algebras. * In logic: ** Boolean algebra… …   Wikipedia

  • Algebra (Begriffsklärung) — Algebra bezeichnet in der Mathematik: Algebra, ein Teilgebiet der Mathematik mit den weiteren Teilgebieten Elementare Algebra Abstrakte Algebra Lineare Algebra Kommutative Algebra Universelle Algebra Computeralgebra Außerdem bezeichnet man mit… …   Deutsch Wikipedia

  • Banach function algebra — In functional analysis a Banach function algebra on a compact Hausdorff space X is unital subalgebra, A of the commutative C* algebra C(X) of all continuous, complex valued functions from X , together with a norm on A which makes it a Banach… …   Wikipedia

  • Banach-Raum — Bạnach Raum   [nach S. Banach], Mathematik: fundamentaler Begriff der Funktionalanalysis, Verallgemeinerung des der analytischen Geometrie zugrunde liegenden Begriffs des n dimensionalen Vektorraumes. Ist auf einem reellen oder komplexen… …   Universal-Lexikon

  • Banach space — In mathematics, Banach spaces (pronounced [ˈbanax]) is the name for complete normed vector spaces, one of the central objects of study in functional analysis. A complete normed vector space is a vector space V with a norm ||·|| such that every… …   Wikipedia

  • Banach-Raum — Ein Banach Raum, benannt nach dem Mathematiker Stefan Banach, ist ein vollständiger normierter Vektorraum. Banach Räume gehören zu den zentralen Studienobjekten der Funktionalanalysis. Die interessantesten Banach Räume sind unendlichdimensionale… …   Deutsch Wikipedia

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