Results 1 to 10 of about 57 (57)
LW∗W-property and topological centers of banach algebras [PDF]
Journal of Hyperstructures, 2012 In this paper we introduce the new concepts LW∗Wproperty and RW∗W-property for a Banach algebra A. Under certain conditions, we show that if A has LW∗W-property and RW∗W- property, then A is Arens regular.
K. Haghnejad Azar
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Lw∗wc and Rw∗wc and weak amenability of banach algebras [PDF]
Journal of Hyperstructures, 2012 We introduce some new concepts as lef t − weak∗ − weak convergence property [Lw∗wc−property] and right−weak∗− weak convergence property [Rw∗wc−property] for Banach algebra A. Suppose that A ∗ and A ∗∗, respectively, have Rw∗wc−property and Lw∗wc−property,
K. Haghnejad Azar, Z. Ranjbar
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Factorization properties and generalization of multipliers in module actions [PDF]
Journal of Hyperstructures, 2015 In this paper, We establish some necessary and sufficient conditions for relationships between the topological centers of module actions and factorization properties of them and we give a new definition for multiplier in module actions with some results.
Kazem Haghnejad Azar
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Journal of Inequalities and Applications, 2023 We study Orlicz sequence algebras and their properties. In particular, we fully characterize biflat and biprojective Orlicz sequence algebras as well as weakly amenable and approximately (semi-)amenable Orlicz sequence algebras. As a consequence, we show
Paweł Foralewski, Krzysztof Piszczek
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Note on Arens regularity of symmetric tensor products
Karpatsʹkì Matematičnì Publìkacìï, 2014 We investigate symmetric regularity of sums of symmetric tensor products of Banach spaces and Arens regularity of symmetric tensor products of Banach algebras. An example for the Hilbert space is obtained.
O.G. Taras, A.V. Zagorodnyuk
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The second conjugate algebras of Banach algebras
International Journal of Mathematics and Mathematical Sciences, 1994 In this paper, we study Arens regularity of a Banach algebra A. In particular, we give characterizations for A to be Arens regular.
Pak-Ken Wong
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Arens Regularity of Certain Class of Banach Algebras
Abstract and Applied Analysis, 2011 We study Arens regularity of the left and right module actions of 𝐴 on 𝐴(𝑛), where 𝐴(𝑛) is the nth dual space of a Banach algebra 𝐴, and then investigate (quotient) Arens regularity of 𝑈=𝐴⊕𝐴(𝑛) as a module extension of Banach algebras.
Abbas Sahleh, Abbas Zivari-Kazempour
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φ-Multipliers on Banach Algebras and Topological Modules
Abstract and Applied Analysis, 2015 We prove some results concerning Arens regularity and amenability of the Banach algebra MφA of all φ-multipliers on a given Banach algebra A. We also consider φ-multipliers in the general topological module setting and investigate some of their ...
Marjan Adib
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On the Properties of the Arens Regularity of Bounded Bilinear Mappings
پژوهشهای ریاضی, 2020 Introduction Let , and be Banach spaces and be a bilinear mapping. In 1951 Arens found two extension for as and from into . The mapping is the unique extension of such that from into is continuous for every , but the mapping is not in
Abotalb Shikh Ali +2 more
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On the topological centers of module actions [PDF]
Sahand Communications in Mathematical Analysis, 2016 In this paper, we study the Arens regularity properties of module actions. We investigate some properties of topological centers of module actions ${Z}^ell_{B^{**}}(A^{**})$ and ${Z}^ell_{A^{**}}(B^{**})$ with some conclusions in group algebras.
Kazem Haghnejad Azar
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