Faster access than browser!
11 relations: Algebra over a field, Associative algebra, Banach algebra, David van Dantzig, Fréchet algebra, Mathematics, Stereotype algebra, Thesis, Topological ring, Topological space, Topological vector space.
Algebra over a field
In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product.
New!!: Topological algebra and Algebra over a field · See more »
Associative algebra
In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field.
New!!: Topological algebra and Associative algebra · See more »
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 (or over a non-Archimedean complete normed field) that at the same time is also a Banach space, i.e. a normed space and complete in the metric induced by the norm.
New!!: Topological algebra and Banach algebra · See more »
David van Dantzig
David van Dantzig (September 23, 1900 – July 22, 1959) was a Dutch mathematician, well known for the construction in topology of the dyadic solenoid.
New!!: Topological algebra and David van Dantzig · See more »
Fréchet algebra
In mathematics, especially functional analysis, a Fréchet algebra, named after Maurice René Fréchet, is an associative algebra A over the real or complex numbers that at the same time is also a (locally convex) Fréchet space.
New!!: Topological algebra and Fréchet algebra · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Topological algebra and Mathematics · See more »
Stereotype algebra
In functional analysis and related areas of mathematics stereotype algebras are topological algebras defined as stereotype spaces with a (unital and associative) multiplication satisfying the condition of separate uniform continuity on compact sets.
New!!: Topological algebra and Stereotype algebra · See more »
Thesis
A thesis or dissertation is a document submitted in support of candidature for an academic degree or professional qualification presenting the author's research and findings.
New!!: Topological algebra and Thesis · See more »
Topological ring
In mathematics, a topological ring is a ring R which is also a topological space such that both the addition and the multiplication are continuous as maps where R × R carries the product topology.
New!!: Topological algebra and Topological ring · See more »
Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
New!!: Topological algebra and Topological space · See more »
Topological vector space
In mathematics, a topological vector space (also called a linear topological space) is one of the basic structures investigated in functional analysis.
New!!: Topological algebra and Topological vector space · See more »
Redirects here:
Generating set of a topological algebra, Topological Algebra.
