Search for "Operator algebras" in article titles:

  1. Schröder–Bernstein theorems for operator algebras: The Schröder–Bernstein theorem from set theory has analogs in the context operator algebras. This article discusses such operator-algebraic results. [100%] 2023-02-14 [Von Neumann algebras] [C*-algebras]...
  2. Schröder–Bernstein theorems for operator algebras: The Schröder–Bernstein theorem from set theory has analogs in the context operator algebras. This article discusses such operator-algebraic results. [100%] 2024-03-31 [C*-algebras] [Functional analysis]...

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  1. Operator algebra: In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings. The results obtained in the study of operator algebras ... (Branch of functional analysis) [100%] 2024-04-02 [Functional analysis] [Operator algebras]...
  2. Operator algebra: In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings. The results obtained in the study of operator algebras ... (Branch of functional analysis) [100%] 2024-08-17 [Functional analysis] [Operator algebras]...
  3. Algebraic operator: A linear operator satisfying a polynomial identity with scalar coefficients. Let $X$ be a linear space over a field $\mathbf{F}$. (Mathematics) [93%] 2023-10-12
  4. Algebraic algebra: An algebra with associative powers (in particular, an associative algebra) over a field in which all elements are algebraic: an element $a$ of the algebra $A$ is called algebraic over the field $F$ if the subalgebra $F$ generated by $a ... (Mathematics) [90%] 2023-10-13
  5. Vertex operator algebra: In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string theory. In addition to physical applications, vertex operator algebras have proven useful in purely mathematical contexts ... (Algebra used in 2D conformal field theories and string theory) [81%] 2023-01-18 [Conformal field theory] [Lie algebras]...
  6. Vertex operator algebra: Vertex (operator) algebras are a fundamental class of algebraic structures that arose in mathematics and physics in the 1980s. These algebras and their representations are deeply related to many directions in mathematics and physics, in particular, the representation theory of ... (Mathematics) [81%] 2023-10-24
  7. Reflexive operator algebra: In functional analysis, a reflexive operator algebra A is an operator algebra that has enough invariant subspaces to characterize it. Formally, A is reflexive if it is equal to the algebra of bounded operators which leave invariant each subspace left ... [81%] 2023-03-31 [Operator theory] [Operator algebras]...
  8. Algebraic operation: $n$-ary operation, on a set $A$ A mapping $$\omega\colon A^n\to A$$ of the $n$-th Cartesian power of the set $A$ into the set $A$ itself. The number $n$ is known as the arity of the ... (Mathematics) [81%] 2023-09-14 [General algebraic systems]
  9. Locally algebraic operator: A linear operator such that for each element of the space under consideration there exists a polynomial in this operator (with scalar coefficients) annihilating this element. Let $X$ be a linear space over a field $\mathbf{F}$. (Mathematics) [76%] 2023-10-12
  10. Lie algebra, algebraic: The Lie algebra of an algebraic subgroup (see Algebraic group) of the general linear group of all automorphisms of a finite-dimensional vector space $V$ over a field $k$. If $\mathfrak g$ is an arbitrary subalgebra of the Lie algebra ... (Mathematics) [73%] 2023-10-17
  11. Operator: In physics, an operator is a function over a space of physical states onto another space of physical states. The simplest example of the utility of operators is the study of symmetry (which makes the concept of a group useful ... (Physics) [73%] 2023-11-16 [Operator theory] [Theoretical physics]...
  12. Operator: An operator is a mapping from function space to function space. If the range of the operator is on the real line or in the complex plane, the operator is usually called a functional instead. [73%] 2023-02-24 [Mathematics] [Technology]...
  13. Operator: A mapping of one set into another, each of which has a certain structure (defined by algebraic operations, a topology, or by an order relation). The general definition of an operator coincides with the definition of a mapping or function. (Mathematics) [73%] 2023-10-17
  14. Operator (mathematics): In mathematics, an operator is generally a mapping or function that acts on elements of a space to produce elements of another space (possibly and sometimes required to be the same space). There is no general definition of an operator ... (Mathematics) [73%] 2024-01-01 [Algebra] [Functional analysis]...
  15. Operator (linguistics): In generative grammar, the technical term operator denotes a type of expression that enters into an a-bar movement dependency. One often says that the operator "binds a variable". (Linguistics) [73%] 2024-08-04 [Grammar] [Generative syntax]...
  16. Operator (computer programming): In computer programming, operators are constructs defined within programming languages which behave generally like functions, but which differ syntactically or semantically. Common simple examples include arithmetic (e.g. (Computer programming) [73%] 2025-03-26 [Operators (programming)] [Programming constructs]...
  17. Operator (computer programming): In computer programming, an operator is a programming language construct that provides functionality that may not be possible to define as a user-defined function (i.e. sizeof in C) or has syntax different than a function (i.e. (Computer programming) [73%] 2025-07-10 [Operators (programming)] [Programming constructs]...
  18. Algebra: Algebra is a branch of mathematics. The term is used in combinations such as homological algebra, commutative algebra, linear algebra, multilinear algebra, and topological algebra. (Mathematics) [68%] 2023-10-17 [Algebra]
  19. Algebra: Algebra (from ar ‏الجبر‎ (al-jabr) 'reunion of broken parts, bonesetting') is the study of variables and the rules for manipulating these variables in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation ... (Area of mathematics) [68%] 2023-10-13 [Algebra]
  20. Algebra (singer): Algebra Felicia Blessett (born April 9, 1976), usually known as Algebra Blessett or just Algebra, is an American contemporary R&B singer. Blessett's mother was a gospel singer and bass player, and Blessett grew up to the sounds of ... (Singer) [68%] 2024-01-09 [1976 births] [Living people]...

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