Results 11 to 20 of about 54,491 (191)
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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Reflexive Banach Algebras [PDF]
Proceedings of the American Mathematical Society, 1955 1. This paper contains a generalization in the commutative case of the structure theorem of W. Ambrose for H*-algebras. An immediate result of Ambrose's axioms is that the orthogonal complement of an ideal is an ideal of the same nature. This fact suggests thinking in terms of a Banach algebra whose conjugate space is a Banach algebra such that the ...
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Algebraic ideals of semiprime Banach algebras [PDF]
Glasgow Mathematical Journal, 1991 AbstractIf A is a semiprime Banach algebra, soc A, rad A the socle and radical of A, then Soc A ∩ rad A = (0). This elementary result enables us to prove some results concerning algebraic ideal and algebraic elements modulo the socle of A. We also deduce several conditions for A equivalent to the condition dim A <+∞.
GIOTOPOULOS, S, ROUMELIOTIS, M
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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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Zero Jordan product determined Banach algebras [PDF]
, 2019 A Banach algebra $A$ is said to be a zero Jordan product determined Banach algebra if every continuous bilinear map $\varphi\colon A\times A\to X$, where $X$ is an arbitrary Banach space, which satisfies $\varphi(a,b)=0$ whenever $a$, $b\in A$ are such ...
Alaminos, J. +3 more
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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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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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Proceedings of the American Mathematical Society, 1969 Introduction. The purpose of this note is to prove the theorem that follows. This theorem generalizes results of L. Ingelstam [2] and M. F. Smiley [4] for Hilbert algebras. It also provides a simpler proof of Corollary which was obtained by F. F. Bonsall and J. Duncan [1]. (This result was obtained before I was aware of the work of Bonsall and Duncan.)
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Reduction of Lie--Jordan algebras: Quantum [PDF]
, 2013 In this paper we present a theory of reduction of quantum systems in the presence of symmetries and constraints. The language used is that of Lie--Jordan Banach algebras, which are discussed in some detail together with spectrum properties and the space ...
Falceto, F. +3 more
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Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type
Fixed Point Theory and Applications, 2017 A dislocated cone metric space over Banach algebra is introduced as a generalisation of a cone metric space over Banach algebra as well as a dislocated metric space. Fixed point theorems for Perov-type α-quasi contraction mapping, Kannan-type contraction
Reny George +3 more
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