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LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS
Taghavi, Ali,Hosseinzadeh, Roja Korean Mathematical Society 2010 대한수학회보 Vol.47 No.4
Let A and B be some standard operator algebras on complex Banach spaces X and Y, respectively. We give the concrete forms of linear idempotence preserving maps $\Phi\;:\;A\;{\rightarrow}\;B$ on finite-rank operators.
LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS
Ali Taghavi,Roja Hosseinzadeh 대한수학회 2010 대한수학회보 Vol.47 No.4
Let A and B be some standard operator algebras on complex Banach spaces X and Y , respectively. We give the concrete forms of linear idempotence preserving maps φ : A → B on finite-rank operators.
A CHARACTERIZATION OF ADDITIVE DERIVATIONS ON C<sup>*</sup>-ALGEBRAS
Taghavi, Ali,Akbari, Aboozar The Kangwon-Kyungki Mathematical Society 2018 한국수학논문집 Vol.26 No.2
Let $\mathcal{A}$ be a unital $C^*$-algebra. It is shown that additive map ${\delta}:{\mathcal{A}}{\rightarrow}{\mathcal{A}}$ which satisfies $${\delta}({\mid}x{\mid}x)={\delta}({\mid}x{\mid})x+{\mid}x{\mid}{\delta}(x),\;{\forall}x{{\in}}{\mathcal{A}}_N$$ is a Jordan derivation on $\mathcal{A}$. Here, $\mathcal{A}_N$ is the set of all normal elements in $\mathcal{A}$. Furthermore, if $\mathcal{A}$ is a semiprime $C^*$-algebra then ${\delta}$ is a derivation.
MAPS PRESERVING JORDAN TRIPLE PRODUCT A<sup>*</sup>B + BA<sup>*</sup> ON *-ALGEBRAS
Taghavi, Ali,Nouri, Mojtaba,Razeghi, Mehran,Darvish, Vahid The Kangwon-Kyungki Mathematical Society 2018 한국수학논문집 Vol.26 No.1
Let $\mathcal{A}$ and $\mathcal{B}$ be two prime ${\ast}$-algebras. Let ${\Phi}:\mathcal{A}{\rightarrow}\mathcal{B}$ be a bijective and satisfies $${\Phi}(A{\bullet}B{\bullet}A)={\Phi}(A){\bullet}{\Phi}(B){\bullet}{\Phi}(A)$$, for all $A,B{\in}{\mathcal{A}}$ where $A{\bullet}B=A^{\ast}B+BA^{\ast}$. Then, ${\Phi}$ is additive. Moreover, if ${\Phi}(I)$ is idempotent then we show that ${\Phi}$ is ${\mathbb{R}}$-linear ${\ast}$-isomorphism.
A NOTE ON NONLINEAR SKEW LIE TRIPLE DERIVATION BETWEEN PRIME ⁎-ALGEBRAS
Taghavi, Ali,Nouri, Mojtaba,Darvish, Vahid The Kangwon-Kyungki Mathematical Society 2018 한국수학논문집 Vol.26 No.3
Recently, Li et al proved that ${\Phi}$ which satisfies the following condition on factor von Neumann algebras $${\Phi}([[A,B]_*,C]_*)=[[{\Phi}(A),B]_*,C]_*+[[A,{\Phi}(B)]_*,C]_*+[[A,B]_*,{\Phi}(C)]_*$$ where $[A,B]_*=AB-BA^*$ for all $A,B{\in}{\mathcal{A}}$, is additive ${\ast}-derivation$. In this short note we show the additivity of ${\Phi}$ which satisfies the above condition on prime ${\ast}-algebras$.
Ramazani, Ali,Ahmadi, Yavar,Fattahi, Nadia,Ahankar, Hamideh,Pakzad, Mousa,Aghahosseini, Hamideh,Rezaei, Aram,Fardood, Saeid Taghavi,Joo, Sang Woo Informa UK (TaylorFrancis) 2016 Phosphorus, sulfur, and silicon and the related el Vol.191 No.7
<P>The 1:1 imine intermediate generated by the addition of a primary amine to cyclohexanone trapped by N-isocyaniminotriphenylphosphorane (NICITPP) in the presence of aromatic carboxylic acids and the corresponding iminophosphorane intermediate was formed. Disubstituted 1,3,4-oxadiazole derivatives are formed via intramolecular aza-Wittig reaction of the iminophosphorane intermediate. The reactions were completed in neutral conditions at room temperature (18-26 degrees C). The disubstituted 1,3,4-oxadiazole derivatives were produced in excellent yields. [GRAPHICS]</P>
The Relationship between Anger Expression and Its Indices and Oral Lichen Planus
Masoumeh Mehdipour,Ali Taghavi Zenouz,Alireza Farnam,Rana Attaran,Sara Farhang,Maryam Safarnavadeh,Narges Gholizadeh,Saranaz Azari-Marhabi 전남대학교 의과학연구소 2016 전남의대학술지 Vol.52 No.2
Oral lichen planus (OLP) is a common inflammatory disease with unknown etiology. Depression, stress and anxiety are psychological factors that their influence on the expressionof lichen planus by affecting the immune system’s function has been confirmed. There is a probable relationship between anger and OLP expression. Therefore,the present study aimed to evaluate the association of “anger” and OLP. In this descriptivestudy 95 subjects were included in 3 groups. A: patients with oral lichen planus,B: positive control, C: negative control. Anger and its indices were assessed by theState-Trait Anger Expression Inventory-2 (STAXI-2) questionnaire, and pain wasmeasured via the Visual Analogue Scale (VAS). The collected data were analyzed statisticallyusing SPSS 18 software. The lichen planus and positive control groups borehigher total anger index (AX index) values compared with the negative control. Comparing anger expression-in (AXI) among the lichen planus and negative controlgroups revealed higher grades in lichen planus group. Evaluating the pain severity index(VAS) data and anger indices in lichen planus group, Spearman’s Rank CorrelationTest revealed a significant correlation between TAngR (reactional anger traits) andpain severity. The findings of this study indicated that there was a significant correlationbetween anger control and suppression of lichen planus development. On the otherhand, the patients with more severe pain mostly expressed their anger physically. Based on the findings, we can make the claim that anger suppression and its control-in(gathering tension) may play a role in the development of lichen planus as a knownpsychosomatic disorders.
MAPS PRESERVING η-PRODUCT A<sup>⁎</sup>B+ηBA<sup>⁎</sup> ON C<sup>⁎</sup>-ALGEBRAS
Darvish, Vahid,Nazari, Haji Mohammad,Rohi, Hamid,Taghavi, Ali Korean Mathematical Society 2017 대한수학회지 Vol.54 No.3
Let $\mathcal{A}$ and $\mathcal{B}$ be two $C^*$-algebras such that $\mathcal{A}$ is prime. In this paper, we investigate the additivity of maps ${\Phi}$ from $\mathcal{A}$ onto $\mathcal{B}$ that are bijective and satisfy $${\Phi}(A^*B+{\eta}BA^*)={\Phi}(A)^*{\Phi}(B)+{\eta}{\Phi}(B){\Phi}(A)^*$$ for all $A,B{\in}\mathcal{A}$ where ${\eta}$ is a non-zero scalar such that ${\eta}{\neq}{\pm}1$. Moreover, if ${\Phi}(I)$ is a projection, then ${\Phi}$ is a ${\ast}$-isomorphism.
MAPS PRESERVING η-PRODUCT A*B + ηBA* ON C*-ALGEBRAS
Vahid Darvish,Haji Mohammad Nazari,Hamid Rohi,Ali Taghavi 대한수학회 2017 대한수학회지 Vol.54 No.3
Let $\mathcal{A}$ and $\mathcal{B}$ be two $C^{*}$-algebras such that $\mathcal{A}$ is prime. In this paper, we investigate the additivity of maps $\Phi$ from $\mathcal{A}$ onto $\mathcal{B}$ that are bijective and satisfy $$\Phi(A^{*}B+\eta BA^{*})=\Phi(A)^{*}\Phi(B)+\eta \Phi(B)\Phi(A)^{*}$$ for all $A, B\in \mathcal{A}$ where $\eta$ is a non-zero scalar such that $\eta\neq \pm1$. Moreover, if $\Phi(I)$ is a projection, then $\Phi$ is a $\ast$-isomorphism.