Results 11 to 20 of about 4,562 (230)
Hyers Stability and Multi-Fuzzy Banach Algebra [PDF]
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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On Fully Stable Banach Algebra Modules and Fully Pesudo Stable Banach Algebra Modules
مجلة بغداد للعلوم, 2018 The concept of fully pseudo stable Banach Algebra-module (Banach A-module) which is the generalization of fully stable Banach A-module has been introduced.
Baghdad Science Journal
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F-cone metric spaces over Banach algebra
Fixed Point Theory and Applications, 2017 The paper deals with the achievement of introducing the notion of F-cone metric spaces over Banach algebra as a generalization of N p $N_{p}$ -cone metric space over Banach algebra and N b $N_{b}$ -cone metric space over Banach algebra and studying some ...
Jerolina Fernandez +3 more
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An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]
, 2010 We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property
Alistair Bird +3 more
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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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Left Ideals of Banach Algebras and Dual Banach Algebras [PDF]
, 2020 We investigate topologically left Noetherian Banach algebras. We show that if $G$ is a compact group, then $L^{\, 1}(G)$ is topologically left Noetherian if and only if $G$ is metrisable. We prove that, given a Banach space $E$ such that $E'$ has BAP, the algebra of compact operators $\mathcal{K}(E)$ is topologically left Noetherian if and only if $E'$
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Ultrapowers of Banach Algebras
Vestnik St. Petersburg University, Mathematics, 2022 In this paper, we consider ultrapowers of Banach algebras as Banach algebras and the product (J,U) on the second dual of Banach algebras. For a Banach algebra A, we show that if there is a continuous derivation from A into itself, then there is a continuous derivation from (A**,(J,U)) into it.
Ebadian, Ali, Jabbari, Ali
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Continuity of homomorphisms and derivations from algebras of approximable and nuclear operators [PDF]
, 1994 1. Let be a Banach algebra. We say that homomorphisms from are continuous if every homomorphism from into a Banach algebra is automatically continuous, and that derivations from are continuous if every derivation from into a Banach -bimodule is ...
Dales, H.G. +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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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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