Results 1 to 10 of about 863 (119)
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 Jordan almost multiplicative maps on special Jordan Banach algebras [PDF]
European Journal of Mathematics and Applications, 2022 If $T: \Lambda \rightarrow \Gamma$ is a dense range homomorphism from a Banach algebra $\Lambda$ to a semisimple Banach algebra $\Gamma$, then the automatic continuity of $T$ is being a long-standing open question.
C. Ganesa Moorthy, G. Siva
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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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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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$(-1)$-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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A study on best approximation and Banach algebra in $n$-normed linear space [PDF]
Mathematica BohemicaThe 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
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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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Tensor products of commutative Banach algebras
International Journal of Mathematics and Mathematical Sciences, 1982 Let A1, A2 be commutative semisimple Banach algebras and A1⊗∂A2 be their projective tensor product. We prove that, if A1⊗∂A2 is a group algebra (measure algebra) of a locally compact abelian group, then so are A1 and A2. As a consequence, we prove that,
U. B. Tewari, M. Dutta, Shobha Madan
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