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ON THE COMMUTANT OF MULTIPLICATION OPERATORS WITH ANALYTIC POLYNOMIAL SYMBOLS
Robati, B. Khani Korean Mathematical Society 2007 대한수학회보 Vol.44 No.4
Let $\mathcal{B}$ be a certain Banach space consisting of analytic functions defined on a bounded domain G in the complex plane. Let ${\varphi}$ be an analytic polynomial or a rational function and let $M_{\varphi}$ denote the operator of multiplication by ${\varphi}$. Under certain condition on ${\varphi}$ and G, we characterize the commutant of $M_{\varphi}$ that is the set of all bounded operators T such that $TM_{\varphi}=M_{\varphi}T$. We show that $T=M_{\Psi}$, for some function ${\Psi}$ in $\mathcal{B}$.
NON-REAL GROUPS WITH EXACTLY TWO CONJUGACY CLASSES OF THE SAME SIZE
Robati, Sajjad Mahmood Korean Mathematical Society 2019 대한수학회논문집 Vol.34 No.1
In this paper, we show that $A_4$ is the only finite group with exactly two conjugacy classes of the same size having some non-real linear characters.
ROBATI, B. KHANI 호남수학회 2001 한국수학학술지 Vol.23 No.1
Let B be a Banach space of analytic functions defined on the open unit disk. Assume S is a bounded operator defined on B such that S is in the commutant of M_z^n or SM_z^n=-M_z^nS for some positive integer n. We give necessary and sufficient condition between compactness of SM_z+cM_zS where c=1, -1, i, -i, and the structure of S. Also we characterize the commutant of M_z,^n for some positive integer n.
ROBATI, B. KHANI The Honam Mathematical Society 2001 호남수학학술지 Vol.23 No.1
Let $\mathcal{B}$ be a Banach space of analytic functions defined on the open unit disk. Assume S is a bounded operator defined on $\mathcal{B}$ such that S is in the commutant of $M_zn$ or $SM_zn=-M_znS$ for some positive integer n. We give necessary and sufficient condition between compactness of $SM_z+cM_zS$ where c = 1, -1, i, -i, and the structure of S. Also we characterize the commutant of $M_zn$ for some positive integer n.
Anaraki, Mahmoud Robati,Nouri-Vaskeh, Masoud,Oskoei, Shahram Abdoli The Korean Pediatric Society 2021 Clinical and Experimental Pediatrics (CEP) Vol.64 No.4
Background: Evidence shows that fluconazole prophylaxis is an effective treatment against invasive fungal infections in preterm neonates, however, the most efficient schedule of fluconazole prophylaxis for the colonization and mortality of invasive candidiasis (IC) is unknown. Purpose: This systematic review and meta-analysis aimed to assess the efficiency of different prophylactic fluconazole schedules in controlling IC colonization, infection, and mortality in very low birth weight (VLBW) and extremely low birth weight (ELBW) infants in neonatal intensive care units. Methods: We searched the PubMed, Scopus, Embase, and Cochrane databases using the keywords "candida," "invasive candidiasis," "IC," "fluconazole prophylaxis," "preterm infants," "very low birth weight infants," "VLBW," "extremely low birth weight," and "ELBW." Results: Mortality was significantly decreased in a meta-analysis of studies using different fluconazole prophylaxis regimens. The meta-analysis also indicated a significant decrease in the incidence of IC-associated mortality in ELBW infants using the same fluconazole prophylaxis schedules. Conclusion: Future studies should explore the effectiveness of other different fluconazole prophylaxis schedules on IC colonization, infection, and mortality.
On the commutant of multiplication operators with analytic polynomial symbols
B. Khani Robati 대한수학회 2007 대한수학회보 Vol.44 No.4
LetB be a certain Banach space consisting of analytic func-tions dened on a bounded domain G in the complex plane. Let ' be ananalytic polynomial or a rational function and let M ' denote the operatorof multiplication by '. Under certain condition on ' and G, we charac-terize the commutant ofM ' that is the set of all bounded operators Tsuch that TM' = M ' T. We show that T = M Ψ for some function Ψ inB.
SUPERCYCLICITY OF ℓ<sup>p</sup>-SPHERICAL AND TORAL ISOMETRIES ON BANACH SPACES
Ansari, Mohammad,Hedayatian, Karim,Khani-Robati, Bahram Korean Mathematical Society 2017 대한수학회논문집 Vol.32 No.3
Let $p{\geq}1$ be a real number. A tuple $T=(T_1,{\ldots},T_n)$ of commuting bounded linear operators on a Banach space X is called an ${\ell}^p$-spherical isometry if ${\sum_{i=1}^{n}}{\parallel}T_ix{\parallel}^p={\parallel}x{\parallel}^p$ for all $x{\in}X$. The tuple T is called a toral isometry if each Ti is an isometry. By a result of Ansari, Hedayatian, Khani-Robati and Moradi, for every $n{\geq}1$, there is a supercyclic ${\ell}^2$-spherical isometric n-tuple on ${\mathbb{C}}^n$ but there is no supercyclic ${\ell}^2$-spherical isometry on an infinite-dimensional Hilbert space. In this article, we investigate the supercyclicity of ${\ell}^p$-spherical isometries and toral isometries on Banach spaces. Also, we introduce the notion of semicommutative tuples and we show that the Banach spaces ${\ell}^p$ ($1{\leq}p$ < ${\infty}$) support supercyclic ${\ell}^p$-spherical isometric semi-commutative tuples. As a result, all separable infinite-dimensional complex Hilbert spaces support supercyclic spherical isometric semi-commutative tuples.
SOME PROPERTIES OF INVARIANT SUBSPACES IN BANACH SPACES OF ANALYTIC FUNCTIONS
Hedayatian, K.,Robati, B. Khani The Honam Mathematical Society 2007 호남수학학술지 Vol.29 No.4
Let $\cal{B}$ be a reflexive Banach space of functions analytic on the open unit disc and M be an invariant subspace of the multiplication operator by the independent variable, $M_z$. Suppose that $\varphi\;\in\;\cal{H}^{\infty}$ and $M_{\varphi}$ : M ${\rightarrow}$ M, defined by $M_{\varphi}f={\varphi}f$, is the operator of multiplication by ${\varphi}$. We would like to investigate the spectrum and the essential spectrum of $M_{\varphi}$ and we are looking for the necessary and sufficient conditions for $M_{\varphi}$ to be a Fredholm operator. Also we give a sufficient condition for a sequence $\{w_n\}$ to be an interpolating sequence for $\cal{B}$. At last the commutant of $M_{\varphi}$ under certain conditions on M and ${\varphi}$ is determined.
A comparison of magnetostrictive and piezoelectric ultrasonic scaling devices: an in vitro study
Yousefimanesh, Hojatollah,Robati, Maryam,Kadkhodazadeh, Mahdi,Molla, Reza Korean Academy of Periodontology 2012 Journal of Periodontal & Implant Science Vol.42 No.6
Purpose: The effects of magnetostrictive and piezoelectric devices on tooth surfaces seem to differ with regard to the root surface roughness they produce. This study aimed to compare the results of scaling using magnetostrictive and piezoelectric devices on extracted teeth. Methods: Forty-four human extracted teeth were assigned to four study groups (n=11). In two groups (C100 and C200), the teeth were scaled using a magnetostrictive device and two different lateral forces: 100 g and 200 g, respectively. In the other two groups (P100 and P200), the teeth were scaled with a piezoelectric device with 100 g and 200 g of lateral force, respectively. The teeth were scaled and the data on the duration of scaling and the amount of surface were collected and analyzed using the t-test. Results: The mean time needed for instrumentation for the piezoelectric and magnetostrictive devices was 50:54 and 41:10, respectively, but their difference was not statistically significant (P=0.171). For root surface roughness, we only found a statistically significantly poorer result for the C200 group in comparison to the P200 group (P=0.033). Conclusions: This study revealed that applying a piezoelectric scaler with 200 g of lateral force leaves smoother surfaces than a magnetostrictive device with the same lateral force.