Table of Contents
7 relations: Borchers algebra, Hilbert space, Mathematics, Operator algebra, Quantum field theory, Unbounded operator, Wightman axioms.
- Operator algebras
Borchers algebra
In mathematics, a Borchers algebra, Borchers–Uhlmann algebra, or BU-algebra is the tensor algebra of a vector space, often a space of smooth test functions. O*-algebra and Borchers algebra are operator algebras.
See O*-algebra and Borchers algebra
Hilbert space
In mathematics, Hilbert spaces (named after David Hilbert) allow the methods of linear algebra and calculus to be generalized from (finite-dimensional) Euclidean vector spaces to spaces that may be infinite-dimensional.
See O*-algebra and Hilbert space
Mathematics
Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.
See O*-algebra and Mathematics
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. O*-algebra and operator algebra are operator algebras.
See O*-algebra and Operator algebra
Quantum field theory
In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics.
See O*-algebra and Quantum field theory
Unbounded operator
In mathematics, more specifically functional analysis and operator theory, the notion of unbounded operator provides an abstract framework for dealing with differential operators, unbounded observables in quantum mechanics, and other cases.
See O*-algebra and Unbounded operator
Wightman axioms
In mathematical physics, the Wightman axioms (also called Gårding–Wightman axioms), named after Arthur Wightman, are an attempt at a mathematically rigorous formulation of quantum field theory.
See O*-algebra and Wightman axioms
See also
Operator algebras
- Borchers algebra
- Bratteli diagram
- Bratteli–Vershik diagram
- C*-algebras
- Calkin correspondence
- Dirac–von Neumann axioms
- Fundamentals of the Theory of Operator Algebras
- Jordan operator algebra
- Kadison transitivity theorem
- Kadison–Singer problem
- Karoubi conjecture
- Nest algebra
- Noncommutative measure and integration
- O*-algebra
- Octacube (sculpture)
- Operator K-theory
- Operator algebra
- Operator system
- Pisier–Ringrose inequality
- Planar algebra
- Reflexive operator algebra
- Stinespring dilation theorem
- Universal representation (C*-algebra)
- Von Neumann algebras
- Weak trace-class operator
- Yasuyuki Kawahigashi
References
Also known as Algebra of unbounded operators, O algebra, O* algebra, O-algebra, Unbounded operator algebra.