Results 31 to 40 of about 103 (94)
On Quasi-similarity of a product of Quasi-similar operators in Hilbert Spaces. [PDF]
, 2015 In this paper we investigate the conditions under which two operators A and B are quasi-similar implies AB and BA are also quasi-similar. It is herein shown that if A and B satisfy the Putnam-Fuglede property and are quasi-similar with the intertwining ...
S.W., Luketero +3 more
core +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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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
Derivations and Extensions in JC‐Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.A well‐known result by Upmeier states that every derivation on a universally reversible JC‐algebra A⊆B(H)sa extends to the C∗‐algebra [A] generated by A in B(H). In this paper, we significantly strengthen this result by proving that every Jordan derivation on a universally reversible JC‐algebra A extends to ∗‐derivations on its universal enveloping ...
Fatmah B. Jamjoom +2 more
wiley +1 more source
On Quasi-Similarity and Putnam- Fuglede Property of Operators In Hilbert Spaces [PDF]
, 2014 The problem of finding conditions under which two given operators say A and B have equal spectra has been considered by several authors. In this paper we show that quasi-similar operators and which satisfy the Putnam- Fuglede property have equal ...
LUKETERO, S.W. +2 more
core +1 more source
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
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
Generalized Derivations and Norm Equality in Normed Ideals [PDF]
, 2011 2000 Mathematics Subject Classification: 47A10, 47A12, 47A30, 47B10, 47B20, 47B37, 47B47, 47D50.We compare the norm of a generalized derivation on a Hilbert space with the norm of its restrictions to Schatten norm ...
Barraa, Mohamed
core
On Quasi-Normality of Two-Sided Multiplication [PDF]
, 2009 2000 Mathematics Subject Classification: 47B47, 47B10, 47A30.In this note, we characterize quasi-normality of two-sided multiplication, restricted to a norm ideal and we extend this result, to an important class which contains all quasi-normal operators.
Amouch, M.
core
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