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Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra [PDF]

Entropy, 2020
We investigate some relationships among the integral transform, the function space integral and the first variation of the partial derivative approach in the Banach algebra defined on the function space.
Kim Young Sik
doaj   +2 more sources

Automatic Continuity of Almost $n$-Multiplicative Linear Functionals [PDF]

Sahand Communications in Mathematical Analysis, 2022
We generalize a theorem due to Jarosz, by proving that every almost $n$-multiplicative linear functional on Banach algebra $A$ is automatically continuous.
Abbas Zivari-Kazempour
doaj   +1 more source

Biamenability of Banach algebras and its applications [PDF]

AUT Journal of Mathematics and Computing, 2023
In this paper, we introduce the concept of biamenability of Banach algebras and we show that despite the apparent similarities between amenability and biamenability of Banach algebras, they lead to very different, and somewhat opposed, theories.
Sedigheh Barootkoob, Somayeh Mohammadzadeh   +1 more
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Norm-Controlled Inversion of Banach algebras of infinite matrices

Comptes Rendus. Mathématique, 2020
In this paper we provide a polynomial norm-controlled inversion of Baskakov–Gohberg–Sjöstrand Banach algebra in a Banach algebra ${\mathcal{B}}(\ell ^q)$, $1\le q \le \infty $, which is not a symmetric $*-$ Banach algebra.
Fang, Qiquan, Shin, Chang Eon
doaj   +1 more source

New Kind of Banach Algebra Via Proximit structure

Wasit Journal for Pure Sciences, 2023
This article introduces the concept of Banach proximit algebra and examines several results in this new context. We give new definitions for the terms "proximit algebra," "commutative proximit algebra," "identity proximit algebra," and "normed proximit ...
Dhuha Ebada, Boushra Y. Hussein
doaj   +1 more source

Conjugations on Banach $$*$$-algebras

Annals of Functional Analysis, 2020
The notion of conjugation is extended to Banach ∗-algebras. The aim of this paper is to characterize conjugations on the Banach algebra of all bounded linear operators on a complex Hilbert space, the algebra of J-symmetric operators on a complex Hilbert space with given conjugation J and the algebra of all complex valued continuous functions, defined ...
Dijana Ilišević, Marek Ptak
openaire   +2 more sources

Banach Synaptic Algebras [PDF]

International Journal of Theoretical Physics, 2017
Using a representation theorem of Erik Alfsen, Frederic Schultz, and Erling Stormer for special JB-algebras, we prove that a synaptic algebra is norm complete (i.e., Banach) if and only if it is isomorphic to the self-adjoint part of a Rickart C*-algebra. Also, we give conditions on a Banach synaptic algebra that are equivalent to the condition that it
Foulis, David J., Pulmannov, Sylvia
openaire   +3 more sources

$(-1)$-Weak Amenability of Second Dual of Real Banach Algebras [PDF]

Sahand Communications in Mathematical Analysis, 2018
Let $ (A,| cdot |) $ be a real Banach algebra, a complex algebra $ A_mathbb{C} $ be a complexification of $ A $ and $ | | cdot | | $ be an algebra norm on  $ A_mathbb{C}  $  satisfying a simple condition together with the norm $ | cdot | $ on $ A$.
Hamidreza Alihoseini, Davood Alimohammadi   +1 more
doaj   +1 more source

A study on best approximation and Banach algebra in $n$-normed linear space [PDF]

Mathematica Bohemica
The idea of best approximation in linear $n$-normed space is presented and some examples showing various possibilities of best approximations in linear $n$-normed space is given. Also, we study strictly convex $n$-norm and enquire about the uniqueness of
Prasenjit Ghosh, Tapas Kumar Samanta
doaj   +1 more source

Asymptotic aspect of derivations in Banach algebras

Journal of Inequalities and Applications, 2017
We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra.
Jaiok Roh, Ick-Soon Chang
doaj   +1 more source