mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A {\displaystyle A} over the real or complex...
17 KB (2,602 words) - 13:01, 17 July 2024
specifically in functional analysis, a Banach space (pronounced [ˈbanax]) is a complete normed vector space. Thus, a Banach space is a vector space with a metric...
103 KB (17,213 words) - 23:33, 24 August 2024
mathematics, specifically in functional analysis, a C∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties...
20 KB (2,829 words) - 11:21, 17 April 2024
Gelfand representation (redirect from C*-algebra representation)
of representing commutative Banach algebras as algebras of continuous functions; the fact that for commutative C*-algebras, this representation is an isometric...
12 KB (1,817 words) - 16:44, 26 August 2024
that bear Banach's name include Banach spaces, Banach algebras, Banach measures, the Banach–Tarski paradox, the Hahn–Banach theorem, the Banach–Steinhaus...
26 KB (2,699 words) - 18:24, 23 February 2024
The Banach–Tarski paradox is a theorem in set-theoretic geometry, which states the following: Given a solid ball in three-dimensional space, there exists...
48 KB (6,823 words) - 13:17, 5 August 2024
the group algebra is any of various constructions to assign to a locally compact group an operator algebra (or more generally a Banach algebra), such that...
9 KB (1,339 words) - 00:36, 27 August 2024
for which the argument is a matrix, or even an element of a Banach algebra or a Lie algebra. The importance of the exponential function in mathematics...
44 KB (5,755 words) - 12:46, 8 July 2024
Approximate identity (redirect from Σ-unital algebra)
a Banach algebra or ring (generally without an identity) that acts as a substitute for an identity element. A right approximate identity in a Banach algebra...
3 KB (474 words) - 21:29, 30 January 2023
specifically in functional analysis, a Banach algebra, A, is amenable if all bounded derivations from A into dual Banach A-bimodules are inner (that is of...
2 KB (242 words) - 04:24, 22 June 2022