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Normed algebras and the geometric series test
Published 2017-11-01Subjects: “…Normed algebra…”
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On Normed Algebras and the Generalized Maligranda–Orlicz Lemma
Published 2023-12-01“…It deals with the problem of constructing a norm in a subspace of the space of bounded functions, for which it becomes a normed algebra so that the norm introduced is equivalent to the initial norm of the subspace. …”
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Expansion of the notions of normed algebras to locally multiplicatively convex algebras
Published 2009-12-01“…We generalize many of the theories of numerical range for the normed algebras to a theory of locally m-convex algebras. …”
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Method for Constructing a Commutative Algebra of Hypercomplex Numbers
Published 2023-08-01Subjects: Get full text
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Stabilitasi Asimtotik Sistem Linear Pada Aljabar Bernorma = Asymtotic Stability of Linear Systems Over a Normed Algebra
Published 1999“…Based on the block-input form of linear systems, the problem of stabilization for linear systems whose coefficients belong to a commutative normed algebra was studied. Key words : Systems over rings, reachability, Strong observability, feedback control, stabilization asymtotic.…”
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Algebraical Entropy and Arrow of Time
Published 2022-10-01Subjects: “…normed algebras…”
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MULTIPLICATIVE PRIMENESS OF COMPLEXIFICATION FOR REAL ALGEBRAS
Published 2006-06-01“…We say that an algebra a is multiplicative prime if both a and m(a) ( the multiplication algebra of a) are prime . in this paper , we study the transitivity of the property of multiplicative primeness for real normal algebra when one take the process of the complexification of such real algebra . we prove that if a is a real normal multiplication of a is also multiplicatively prime normed algebra .…”
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Topological algebras with subadditive boundedness radius
Published 2020-12-01“…Finally, in the case when $A$ is a normed algebra, we compare the initial normed topology with the normed topology $\tau_{\beta}$, induced by $\beta$ on $A$, where $\beta^{-1} (0)=0$.…”
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The chain rule for F-differentiation
Published 2020“…Then D(1)(X) is a normed algebra of functions but, in some cases, fails to be a Banach function algebra. …”
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On strongly Jordan zero-product preserving maps
Published 2016-02-01“…In this paper, we give a characterization of strongly Jordan zero-product preserving maps on normed algebras as a generalization of Jordan zero-product preserving maps. …”
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Action of projections on Banach algebras
Published 2023-05-01“…Apart from proving some other results, as an application we prove that, a normed algebra is commutative iff the interior of its center is non-empty. …”
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Non-Equivalent Norms on $C^b(K)$
Published 2020-11-01“…Also by applying the norm $\Vert \cdot \Vert_\varphi $ and a new product `` $\cdot$ '' on $C^b(K)$, we present the normed algebra $ \left( C^{b\varphi}(K), \Vert \cdot \Vert_\varphi \right)$. …”
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Approximation Properties of Solutions of a Mean Value-Type Functional Inequality, II
Published 2020-08-01“…Let <i>X</i> be a commutative normed algebra with a unit element <i>e</i> (or a normed field of characteristic different from 2), where the associated norm is sub-multiplicative. …”
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Normed Dual Algebras
Published 2019-02-01“…This article is devoted to the investigation of dual and annihilator normed algebras. Their structure is studied in the paper. …”
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دراسة في زمر لي والجبور ثنائية النظيم
Published 2018-12-01“… The objective of this paper is studying Lie group G(X) on algebra X and define two norms in this algebra and give some properties of two-norm algebras which are topological, and relate some concepts with the topological notions introduced by A. …”
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دراسة في زمر لي والجبور ثنائية النظيم
Published 2018-12-01“… The objective of this paper is studying Lie group G(X) on algebra X and define two norms in this algebra and give some properties of two-norm algebras which are topological, and relate some concepts with the topological notions introduced by A. …”
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