Results 1 to 10 of about 4,562 (230)
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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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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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 +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
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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
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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 +1 more
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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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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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The Extended Cone b-Metric-like Spaces over Banach Algebra and Some Applications
Mathematics, 2022 In this paper, we introduce the structure of extended cone b-metric-like spaces over Banach algebra as a generalization of cone b-metric-like spaces over Banach algebra.
Jerolina Fernandez +4 more
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