Eine Banach-*-Algebra (über ) ist eine Banachalgebra über zusammen mit einer Involution , so dass. In anderen Worten, eine Banach-*-Algebra ist eine Banachalgebra und zugleich eine * …

Apr 20, 2012 · Any commutative $\Cstar$-algebra $A$ is isometrically and symmetrically isomorphic (i.e. is isomorphic as a Banach algebra $A$ with involution) to the $\Cstar$-algebra …

A Banach algebra is a Banach space over = or , together with a structure of algebra over , such that the product map (,) is continuous. An equivalent norm on A {\displaystyle A} can be found …

En matemáticas, especialmente en el análisis funcional, un álgebra de Banach, que lleva el nombre del matemático Stefan Banach, es un álgebra asociativa sobre los números reales o …

Em análise funcional, uma álgebra de Banach A é um espaço de Banach e uma álgebra associativa sobre um corpo (normalmente ou ), em que o produto é associativo e a norma …

Nov 29, 2014 · A Banach algebra is said to be an algebra with a unit if $A$ contains an element $e$ such that $ex=xe=x$ for any $x\in A$.

A Banach algebra is a complete normed algebra. It is a vector space equipped with a norm that satisfies the following properties: The norm is submultiplicative, meaning that ||ab|| ≤ ||a|| ||b|| …

V matematice, speciálně ve funkcionální analýze Banachova algebra pojmenována podle Stefana Banacha je asociativní algebra A nad reálnými nebo komplexními čísly, která je současně …

Oct 12, 2023 · Let $\struct {A, \circ}$ be an algebra over $R$ which is also a Banach space. Then $\struct {A, \circ}$ is a Banach algebra if and only if: $\forall a, b \in R: \norm {a \circ b} \le …

Let ∥⋅∥ ‖ ⋅ ‖ be an algebra norm on A A such that (A,∥⋅∥) ( A, ‖ ⋅ ‖) is a Banach algebra and: for each a ∈ A a ∈ A . We say that (A, ∗,∥⋅∥) ( A, ∗, ‖ ⋅ ‖) a Banach ∗ ∗ -algebra . Results about …

Feb 7, 2011 · A Banach algebra of continuous functions on a compact Hausdorff space separating the points of and containing the constant functions (cf. also Algebra of functions). One speaks …

Stefan Banach (Polish: [ˈstɛfan ˈbanax] ⓘ; 30 March 1892 – 31 August 1945) was a Polish mathematician [1] who is generally considered one of the 20th century's most important and …

Jul 1, 2020 · Jordan–Banach algebra. A Jordan algebra over the field of real or complex numbers, endowed with a complete norm $|.|$ satisfying \begin{equation*} \| x \circ y \| \leq \| x \| \| y \| …

In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A {\\displaystyle A} over the real or complex numbers (or over a non …

4 days ago · We analyze existence and uniqueness of solutions for perturbations of a Jensen functional inequality in several variables. Applications in connection with asymptotic behaviors …