Results 11 to 20 of about 842 (180)
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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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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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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Ring homomorphisms on real Banach algebras
International Journal of Mathematics and Mathematical Sciences, 2003 Let B be a strictly real commutative real Banach algebra with the carrier space ΦB. If A is a commutative real Banach algebra, then we give a representation of a ring homomorphism ρ:A→B, which needs not be linear nor continuous.
Takeshi Miura, Sin-Ei Takahasi
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Hyers Stability and Multi-Fuzzy Banach Algebra
Mathematics, 2021 In this paper, we define multi-fuzzy Banach algebra and then prove the stability of involution on multi-fuzzy Banach algebra by fixed point method. That is, if f:A→A is an approximately involution on multi-fuzzy Banach algebra A, then there exists an ...
Parvaneh Lo′lo′ +2 more
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Cyclic amenability of Lau product and module extension Banach algebras
پژوهشهای ریاضی, 2022 Introduction The notion of weak amenability for commutative Banach algebras was introduced and studied for the first time by Bade, Curtis and Dales. Johnson extended this concept to the non commutative case and showed that group algebras of all locally ...
Mohammad Ramezanpour, Mahdieh Alikahi
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Proceedings of the American Mathematical Society, 1957 1. The Banach algebra A. Let L2(S) be the set of all complexvalued measurable functions, on a measure space S, whose magnitudes are square summable. We consider L2(S) as a Hilbert space, and assume the existence of a countable complete orthonormal set {+k} in L2(S), which has the additional property that OkELO(S) nL1(S) for all k.
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