commutant algebra

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• Commutant-associative algebra — In abstract algebra, a commutant associative algebra is a nonassociative algebra over a field whose multiplication satisfies the following axiom: ([A1,A2],[A3,A4],[A5,A6]) = 0, where [A, B] = AB − BA is the commutator of… …   Wikipedia

• Commutant — In algebra, the commutant of a subset S of a semigroup (such as an algebra or a group) A is the subset S′ of elements of A commuting with every element of S. In other words, S′ forms a subsemigroup. This generalizes the concept of centralizer in… …   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

• O*-algebra — In mathematics, an O* algebra is an algebra of possibly unbounded operators defined on a dense subspace of a Hilbert space. The original examples were described by Borchers (1962) and Uhlmann (1962), who studied some examples of O* algebras,… …   Wikipedia

• Bicommutant — In algebra, the bicommutant of a subset S of a semigroup (such as an algebra or a group) is the commutant of the commutant of that subset. It is also known as the double commutant or second commutant and is written S^{prime prime}.The bicommutant …   Wikipedia

• Zonal spherical function — In mathematics, a zonal spherical function or often just spherical function is a function on a locally compact group G with compact subgroup K (often a maximal compact subgroup) that arises as the matrix coefficient of a K invariant vector in an… …   Wikipedia

• Commutation theorem — In mathematics, a commutation theorem explicitly identifies the commutant of a specific von Neumann algebra acting on a Hilbert space in the presence of a trace. The first such result was proved by F.J. Murray and John von Neumann in the 1930s… …   Wikipedia

• Paire de matrices commutantes — En mathématiques, une paire de matrices commutantes est un couple (A,B) de matrices carrées à coefficients dans un corps commutatif qui commutent, c est à dire que AB = BA. L étude des paires de matrices commutantes a des aspects tout à fait… …   Wikipédia en Français

• Paires de matrices commutantes — Paire de matrices commutantes En mathématiques, une paire de matrices commutantes est un couple (A,B) de matrices carrées à coefficients dans un corps qui commutent, c est à dire que AB = BA. L étude des paires de matrices commutantes a des… …   Wikipédia en Français

• List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

• List of functional analysis topics — This is a list of functional analysis topics, by Wikipedia page. Contents 1 Hilbert space 2 Functional analysis, classic results 3 Operator theory 4 Banach space examples …   Wikipedia