Results 1 to 10 of about 54,491 (191)
Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra. [PDF]
Entropy (Basel), 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.
Young Sik K.
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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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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 MathematicsIn 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 +2 more
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A bicommutant theorem for dual Banach algebras [PDF]
, 2010 A dual Banach algebra is a Banach algebra which is a dual space, with the multiplication being separately weak$^*$-continuous. We show that given a unital dual Banach algebra $\mc A$, we can find a reflexive Banach space $E$, and an isometric, weak ...
Daws, Matthew
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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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Nice connecting paths in connected components of sets of algebraic elements in a Banach algebra [PDF]
, 2016 Generalizing earlier results about the set of idempotents in a Banach algebra, or of self-adjoint idempotents in a $C^*$-algebra, we announce constructions of nice connecting paths in the connected components of the set of elements in a Banach algebra ...
Makai, Jr., E., Zemánek, Jaroslav
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