Results 41 to 50 of about 528 (95)
A Note on Skew Derivations and Antiautomorphisms of Prime Rings
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity‐preserving maps to analyze these rings.
Faez A. Alqarni +5 more
wiley +1 more source
Boundedness for commutators of fractional integrals on Herz-Morrey spaces with variable exponent
, 2013 In this paper, some boundedness for commutators of fractional integrals are obtained on Herz-Morrey spaces with variable exponent applying some properties of varible exponent and $\BMO$ function.Comment: In 2013, it is accepted by Kyoto Journal of ...
Wu, Jianglong
core +1 more source
Concrete Operators, 2023 Given Banach space operators Si{S}_{i} and Ti{T}_{i}, i=1,2i=1,2, we use elementary properties of the left and right multiplication operators to prove, that if the tensor products pair (S1⊗S2,T1⊗T2)\left({S}_{1}\otimes {S}_{2},{T}_{1}\otimes {T}_{2}) is ...
Duggal Bhagawati Prashad, Kim In Hyoun
doaj +1 more source
On generalized derivation in Banach spaces
, 2017 In this paper we generalized two important results of B. P. Duggal [4, Theorem 2.1 and 2.6], and other results are also given. If B(X ) is the algebra of all bounded linear operators on a complex Banach space X and J (X )={x∈B(X ) : x = x1+ix2, where x1 ...
A. Mansour, S. Bouzenada
semanticscholar +1 more source
Spectral characterization of sums of commutators II
, 1997 For countably generated ideals, $\Jc$, of $B(\Hil)$, geometric stability is necessary for the canonical spectral characterization of sums of $(\Jc,B(\Hil))$--commutators to hold. This answers a question raised by Dykema, Figiel, Weiss and Wodzicki. There
Dykema, Kenneth J., Kalton, Nigel J.
core +3 more sources
A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In real life, variability and inaccuracy are always presentand must be calculated by either possibilistic, probabilistic, polymorphic or other uncertainty approach. This benchmark study is about to construct new types of fuzzy soft ideals i.e., (∈, ∈ ∨qk)
Khan Faiz Muhammad +3 more
doaj +1 more source
On the numerical range of a generalized derivation
, 2017 We examine the relationship between the numerical range of the restriction of a generalized derivation to a norm ideal J and that of its implementing elements.
F. M. Runji, J. O. Agure, F. Nyamwala
semanticscholar +1 more source
Poisson C*-algebra derivations in Poisson C*-algebras
Demonstratio MathematicaIn this study, we introduce the following additive functional equation:g(λu+v+2y)=λg(u)+g(v)+2g(y)g\left(\lambda u+v+2y)=\lambda g\left(u)+g\left(v)+2g(y) for all λ∈C\lambda \in {\mathbb{C}}, all unitary elements u,vu,v in a unital Poisson C*{C ...
Wang Yongqiao, Park Choonkil, Chang Yuan
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Some conditions under which Jordan derivations are zero
Journal of Taibah University for Science, 2017 In the current article, we obtain the following results: Let A be an algebra and P be a semi-prime ideal of A. Suppose that d:Aâ(A/P) is a Jordan derivation such that dim{d(a)|aâA}â¤1. If d(P)={0}, then d is zero.
Z. Jokar, A. Hosseini, A. Niknam
doaj +1 more source
m-isometric generalised derivations
Concrete Operators, 2022 Given Banach space operators Ai, Bi (i = 1, 2), let δi denote (the generalised derivation) δi(X) = (LAi − RBi )(X) = AiX − XBi. If 0 ∈ σa(Bi), i = 1, 2, and if Δδ1,δ2n(I)=(Lδ1Rδ1-I)n(I)=0\Delta _{{\delta _1},\delta 2}^n\left( I \right) = {\left( {{L_ ...
Duggal B.P., Kim I.H.
doaj +1 more source