Results 1 to 10 of about 842 (180)

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
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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
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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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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
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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
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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
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On the Wielandt and Bhatt-Dedania Theorems [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
In this paper, we generalize a norm topology in Wielandt’s theorem for unital normed algebras and in Bhatt-Dedania’s theorem for Banach algebras, with each element being a zero topological divisor, by using 2-normed algebra and 2-Banach ...
Ekram Abdullah, Marwan A. Jardo, Amir Mohammed   +2 more
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$(-1)$-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
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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
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Reflexive Banach Algebras [PDF]

Proceedings of the American Mathematical Society, 1955
1. This paper contains a generalization in the commutative case of the structure theorem of W. Ambrose for H*-algebras. An immediate result of Ambrose's axioms is that the orthogonal complement of an ideal is an ideal of the same nature. This fact suggests thinking in terms of a Banach algebra whose conjugate space is a Banach algebra such that the ...
openaire   +2 more sources