Banach algebra
id:
banach-algebra-184-2067176
title:
Banach algebra
text:
In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A over the real or complex numbers that at the same time is also a Banach space, that is, a normed space that is complete in the metric induced by the norm. The norm is required to satisfy ‖ x y ‖ ≤ ‖ x ‖ ‖ y ‖ for all x, y ∈ A. This ensures that the multiplication operation is continuous with respect to the metric topology. A Banach algebra is called unital if it has an ide
brand slug:
wiki
category slug:
encyclopedia
description:
Particular kind of algebraic structure
original url:
https://en.wikipedia.org/wiki/Banach_algebra
date created:
2001-11-23T17:39:34Z
date modified:
2024-09-07T03:51:55Z
main entity:
{"identifier":"Q806066","url":"https://www.wikidata.org/entity/Q806066"}
image:
fields total:
13
integrity:
15