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 $x\in A$.

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 * …

In mathematics, Jordan operator algebras are real or complex Jordan algebras with the compatible structure of a Banach space. When the coefficients are real numbers, the algebras …

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 …

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 …

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 …

Dec 17, 2015 · A right Banach module and a Banach bimodule over $A$ are defined in an analogous manner. A continuous homomorphism of two Banach modules is called a …

In this section we discuss an important concept in Functional Analysis. The result presented here are needed in Section 7 as well as in Chapter V. Definition. Let K be either R or C A normed …

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 …

Nov 7, 2017 · 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 …

Feb 9, 2018 · A Banach *-algebra is a Banach algebra A 𝒜 with a map ∗:A →A: * 𝒜 → 𝒜 which satisfies the following properties: where ¯λ λ ¯ is the complex conjugation of λ λ. In other …

Banach space, where the corresponding measure space on T is the set of Lebesgue measurable subsets of T. We may also de ne the so-called Hardy spaces Hp(T; )={[f]∈Lp(T; )∶S 2ˇ 0 f( )ein …

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 \| …

Mar 8, 2024 · Banach algebras, a cornerstone of functional analysis, are mathematical structures that blend algebraic and topological concepts, characterised by their complete normed vector …

2 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 …