Results 1 to 5 of about 5 (5)

Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations

Open Mathematics, 2020
In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator algebras.
An Guangyu, Yao Ying
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Jordan {g,h}-derivations on triangular algebras

Open Mathematics, 2020
In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to be a {g,h}-derivation on triangular algebras. As an application, we prove that every Jordan {g,h}-derivation on τ(N)\tau ({\mathscr{N}}) is a {g,h ...
Kong Liang, Zhang Jianhua
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σ-derivations on generalized matrix algebras

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
Let 𝒭 be a commutative ring with unity, 𝒜, 𝒝 be 𝒭-algebras, 𝒨 be (𝒜, 𝒝)-bimodule and 𝒩 be (𝒝, 𝒜)-bimodule. The 𝒭-algebra 𝒢 = 𝒢(𝒜, 𝒨, 𝒩, 𝒝) is a generalized matrix algebra defined by the Morita context (𝒜, 𝒝, 𝒨, 𝒩, ξ𝒨𝒩, Ω𝒩𝒨).
Jabeen Aisha, Ashraf Mohammad, Ahmad Musheer   +2 more
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Left Derivable Maps at Non-Trivial Idempotents on Nest Algebras

Annales Mathematicae Silesianae, 2019
Let Alg 𝒩 be a nest algebra associated with the nest 𝒩 on a (real or complex) Banach space 𝕏. Suppose that there exists a non-trivial idempotent P ∈ Alg 𝒩 with range P (𝕏) ∈ 𝒩, and δ : Alg 𝒩 → Alg 𝒩 is a continuous linear mapping (generalized) left ...
Ghahramani Hoger, Sattari Saman
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Characterization of derivations on strongly double triangle subspace lattice algebras by local actions

Open Mathematics
Let D $\mathcal{D}$ be a strongly double triangle subspace lattice on a nonzero complex reflexive Banach space and AlgD $\text{Alg}\mathcal{D}$ the associated subspace lattice algebra. Assume that F,G∈AlgD $F,G\in \text{Alg}\mathcal{D}$ and set R(F,G)=
Qin Zijie
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