Mahmood Haji Shaabani
Associate Professor of mathematical analysis
Academic Appointments
Associate Professor of Pure Mathematics, Shiraz University of Technology, Iran
Contact
Email:
shaabani@sutech.ac.ir
Professional Education
• Ph.D.: Pure Mathematics (Functional Analysis),Shiraz University, Iran, 2004-2009
• M.Sc.: Pure Mathematics (Functional Analysis),Shiraz University, Iran, 2002-2004
• B.Sc.: Applied Mathematics, Shiraz University, Iran,1998-2002
Courses
Teaching at Shiraz University of Technology, Iran:
• Functional Analysis
• Composition operator
• Real Analysis
• Probabilistic normed and Metric Spaces
• Linear Algebra,
• Ordinary Differential Equations
• Calculus II,
• Calculus I
Current Research
- Norm of some weighted composition operators
- Essential normal weighted composition operators
- Spectrum of some weighted composition operators
- normal weighted composition operators
- Numerical range
- C–selfadjointness of the product of a composition operator and a maximal differentiation operator
All Publications
1- M. Haji Shaabani and B. Khani, on the norm of composition operators with certain linear fractional symbol, korrean annls of math, 25, 67-74, (2008). |
2- M. Haji Shaabani and B. Khani, On the norm of certain weighted composition operators On the Hardy spaces, Abstract and applied analysis, 1-13, (2009). |
3-B. Khani and M. Haji Shaabani, on the Commutant of multiplication operators with analytic rational symbol, Bulletin of the Belgian Mathematical 19, 165-172, (2012). |
4-M. Haji Shaabani, on the norm of certain weighted composition operators on the Hardy space, Far East Journal of Mathematical Sciences 47, 73-81, (2010). |
5-M. Haji Shaabani and B. Lafuerza-Guillén, On a-Šerstnev probabilistic normed spaces, Journal of Inequalities and Applications,1-15, 2011. |
6-M. Haji Shaabani and M. Baseri Nezhad, Bounded linear operators on nite dimensional Probabilistic normed spaces, Surveys in Mathematics and its Applications, 8,11-21, (2013). |
7-M. Fatehi and M. Haji Shaabani, Certain nontrivially essentially self-adjoint weighted Composition operators on H2 and A2, Complex Variables and Elliptic Equations,59, 1626-1635, (2014). |
8-M. Fatehi and M. Haji Shaabani, Some essentially normal weighted composition Operators on the weighted Bergman spaces, Complex Variables and Elliptic Equations 60, 1205-1216, (2015). |
9- M. Haji Shaabani and B. Khani Robati, Toeplitz operators and multiplication operators in the commutant of a composition operator on weighted Bergman spaces, Surveys in Mathematics and its Applications 9, 139-147, (2014). |
10- M. Fatehi and M. Haji Shaabani, Normal, cohyponormal and normaloid weighted composition operators on the Hardy and weighted Bergman spaces, Journal of the Korean Mathematical Society 54(2), 599–612, 2017. |
11- M. Fatehi and M. Haji Shaabani, Quasinormal and Hyponormal Weighted CompositionOperators on H2 and A2 with Linear Fractional Compositional Symbol, Complex Anal. Oper. Theory, 2017. |
12- M. Haji Shaabani and L. Pourmemar, on the definition of a probabilistic normed Group, Journal of Interdisciplinary mathematics,20(2), 383–395, (2017). |
13-M. Haji Shaabani, Fredholmness of multiplication of a weighted composition operator with its adjoint on H2 and A2, Journal of Inequalities and Applications, 2018, 1-9, (2018). |
14-M. Haji Shaabani, Closed range weighted composition operators on H2 and A2, Iranian Journal of Science and Technology, 43, 1167-1170, (2019). |
15-M. Haji Shaabani, Norms of hyponormal weighted composition operators on the Hardy and weighted Bergman Spaces, Operators and Matrices, 12, 997-1007, (2018) . |
16- M. Haji Shaabani, M. Fatehi and P. Viet Hai, C–selfadjointness of the product of a composition operator and a maximal differentiation operator, Operators and Matrices, 15, 313-326, (2021). |
17-M. Haji Shaabani, M. Farzi Haromi, Spectrum of some weighted composition operators, Proc. Indian Acad. Sci., 51, 1-11, (2019). |
18- M. Haji Shaabani, M. Fatehi and M. Farzi Haromi, Spectrum and essential spectrum of linear combinations of composition operators on the Hardy space H2, New Researches in Mathematics, 5, 5-14, (2020). |
19- M. Haji Shaabani, M. Fatehi and C. C. Hammond, Numerical range of weighted composition operators on the Fock space, Complex Variables and Elliptic Equations, published online, (2022). |
20-M. Haji Shaabani, M. Baseri Nejhad and P. Viet Hai, C–selfadjoint product of a composition operator and a maximal differential operator on the Fock space, Complex Variables and Elliptic Equations, published online, (2022). |
21-M. Haji Shaabani and M. Farzi Haromi, Hyers-Ulam Stability of some linear Operators on a Hilbert Space, Journal of Mathematical Extention. (2022) |
22-M. Haji Shaabani and N. Vafaei, Numerical ranges of sum of two weighted composition operators on the Hardy space H2, Journal of Mathematical Inequalities, (2022). |
23-M. Haji Shaabani1, A. Kazemi Poshtpary, Functions with values in probabilistic normed space, The ۲۱st Seminar on Mathematical Analysis and its Applications ۲۶-۲۷ November 2014, Islamic Azad University, Hamedan, Iran, pp 168-170. |
24-M. Haji Shaabani, F. moosaviun, Probabilistic norms and convergence of random variables The ۲۱st Seminar on Mathematical Analysis and its Applications ۲۶-۲۷ November 2014, Islamic Azad University, Hamedan, Iran, pp 171-173. |
25-M. Haji Shaabani and F. Papari, _Sigma- Product of Probabilistic normed Spaces, The 2st National Electronic Congress on the Effect of Mathematics Development of Sciences 67-70, 8-9 March 2014, Jahrom University, Iran. |
26-M. Haji Shaabani and S. Samimi, New type of Lp spaces, The 2st National Electronic Congress on the Effect of Mathematics Development of Sciences71-74, 8-9 March 2014, Jahrom University, Iran. |
27-M. Haji Shaabani and L. Pourmema, Normable tv probabilistic norm spaces, The 44th Annual Iranian Mathematics Conference, 31-34, 27-30 August 2013, Ferdowsi University of Mashhad, Iran. |
28-M. Haji Shaabani and M. Baseri Nezhad, Finite dimensional probabilistic normed spaces, The 44th Annual Iranian Mathematics Conference, 87-90, 27-30 August 2013, Ferdowsi University of Mashhad, Iran. |
29-Z. Rafiei, A. Fakharzade J. and M. Haji Shaabani, Best adapted search technique for shape-measure method, Extended Abstracts of the 19th Mathematical Seminar on Analysis and its applications 135-137, 19-20 February 2011, University of Mazandaran, Babolsar, Iran. |
30-M. Fatehi and M. Haji Shaabani, On the norm of certain composition operators on the generalized Hardy spaces, The 41th Annual Iranian Mathematics Conference, 85-87, 12-15 September 2.10, Urmia, Iran. |
31-M. Haji Shaabani and F. Zeydabadi, Two modes of limit in probabilistic normed space, The 46th Annual Iranian Mathematics Conference, 85-87, 25-28 August 2015, Yazd, Iran. |
32-M. Haji Shaabani and F. Papari, D bounded sets in products of probabilistic normed spaces, The 45th Annual Iranian Mathematics Conference, 87-90, 26-29 August 2014, semnani University, Iran. |
33-محمود حاجی شعبانی و محمد باصری نژاد، عملگرهای خطی روی فضاهای نرمدار احتمالی، پنجمین همایش ملی تخصصی ریاضی دانشگاه پیام نور،۴-۳ آبان ۹۱ شیراز ۱۶۷-۱۶۴. |
34-محمود حاجی شعبانی و لیلا پور معمار، کدامیک از فضاهای نرمدار احتمالی می توانند برداری توپولوژیک ، پنجمین همایش ملی تخصصی ریاضی دانشگاه پیام نور،۴-۳ آبان ۹۱ شیراز ۱۷۱-۱۶۸. |
35-محمود حاجی شعبانی و ملیحه فرضی هارومی، عملگرهای ترکیبی با الحاقی عملگرهای ترکیبی، روی فضای برگمن چه زمانی دارای جابجاگرهای فشرده هستند؟ بیست و دومین سمینار آنالیز ریاضی و کاربردهای آن، ۷-۶ بهمن ماه ،۹۵ دانشگاه بناب، ۴۹-۴۵. |
36-سن فتحی و محمود حاجی شعبانی، عملگرهای خطی فشرده روی فضاهای نرم دار احتمالی، پنجمين سمينار آناليز تابعی و کابردهای آن، ۲۲-۲۱ تير ۹۶، دانشگاه زنجان. |
37-M. Haji Shaabani, When the adjoint of a weighted composition operator is bounded below, ۲۴th Mathematical Seminar on Analysis and its applications 166-170, 2021, Ghazvin, Iran. |
38-M. Haji Shaabani, Closed range weighted composition operators on the Hardy and weighed Bergman spaces, 24th Mathematical Seminar on Analysis and its applications 163-166, 2021, Gazvin, Iran. |
39-M. Haji Shaabani, Norms of hyponormal weighted composition operators on the Hardy and weighted Bergman spaces , The 6Th Seminar On Functional Analysis And Its Applications, 2021, Esfahan, Iran, pp 119-121. |
40-M. Haji Shaabani, Some essentionally normal weighted composition operators on the weighted Bergman spaces, The 6Th Seminar On Functional Analysis And Its Applications, 2021, Esfahan, Iran, pp 116-118. |
41-M. Farzi Haromi and M. Haji Shaabani, Spectrum of some weighted composition operators Cψ,φ on the weighted Hardy and Bergman spaces, The ۴۵th Annual Iranian Mathematics Conference, 2019, 528-531, Shiraz University, Iran. |