General Born: 1972, Behshahr (North of Iran), Iran

General Born: 1972, Behshahr (North of Iran), Iran

Curriculum Vita

Ali Ghaffari

(Ph) +98 231 3333752

Mail address

Department of Mathematics,

Semnan University,

Semnan, Iran.

Email address

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General Born: 1972, Firozkouh, Iran.

Information Citizenship: Iranian

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Education

  • Ph.D. in Mathematics, Tarbiat modares university, Iran 2002, Supervisor: Professor Alireza Medghalchi.
  • M.Sc. in Mathematics Tarbiat modarres university, Iran, 1998, Supervisor: Dr. Ahmad Moussavi
  • B.S. in Ferdousi university of Mashhad, Iran, 1996.

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Academic Employment

2002-2008 Assistant Professor of Mathematics, Semnan university.

2008-present Associate Professor of Mathematics, Semnan university.

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Sabbatical Leave

  • Six months, Jun 2000-November 2000, University of Alberta, Canada
  • Six months, Jun 2010-November 2010, University of Alberta, Canada

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Research Interest

  • Functional Analysis (Harmonic analysis)
  • Banach algebras

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Honors

  • Best researcher in Science Faculty of Semnan University in 2007.
  • Ranked 5th in M. Sc. in Iran National Exam for M. Sc. entrance axam
  • Reviewer, American Mathematical Reviews.
  • Reviewer, Zentalblatt fur Mathematik.

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Publications: Books

  • Topology, Semnan University Press, May 2007.
  • Mathematical Analysis, Semnan University Press, December 2007.
  • Real Analysis, Semnan University Press, September 2009.
  • Functional Analysis, Semnan University Press, Jun 2011.

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Selected Publications

  • (with Alinejad, A.) $\varphi$-amenability of Banach algebras. To appear in Bull. Iranian Math. Soc.
  • Conjugate convolution operators and inner amenability. To appear in Bull. Belg. Math. Soc. Simon Stevin
  • On Character amenability of semigroup algebras. To appear in Acta Math. Hungar .
  • On invariant convex subsets in algebras defined on alocally compact group $G$. To appear in Studia Sci. Math. Hungar.
  • Projections on weak$^*$-closed subspace of dual Banach algebras. To appear in Acta Math. Sin. (Engl. Ser.)
  • Module homomorphisms associated with Banach algebras. Taiwanese J. Math 15 (2011), 1075–1088.
  • Projections and invariant means related to some Banach algebras. Bull. Belg. Math. Soc. Simon Stevin 18 (2011), 121–133.
  • $\Gamma$-amenability of locally compact groups. Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 12, 2313–2324.
  • (with Alinejad, A.) Stabilities of cubic mappings in fuzzy normed spaces. Adv. Difference Equ. (2010), Art. ID 150873, 15 pp.
  • The $\tau_c$$\tau_c$-topology on locally compact foundation semigroups. Studia Sci. Math. Hungar. 46 (2009), no. 1, 25–35.
  • (with Alinejad, A.; Gordji, M. Eshaghi) On the stability of general cubic-quartic functional equations in Menger probabilistic normed spaces. J. Math. Phys. 50 (2009), no. 12, 123301, 7 pp.
  • Operators which commute with the conjugation operators. Houston J. Math. 34 (2008), no. 3, 1225-1232.
  • A characterization of locally compact inner amenable groups. Acta Math. Sci. Ser. B Engl. Ed. 28 (2008), no. 3, 588—594.
  • Projections onto invariant subspaces of some Banach algebras. Acta Math. Sin. (Engl. Ser.) 24 (2008), no. 7, 1089—1096.
  • Strongly and weakly almost periodic linear maps on semigroup algebras. Semigroup Forum 76 (2008), no. 1, 95--106.
  • Structural properties of inner amenable discrete groups. Bull. Iranian Math. Soc. 33 (2007), no. 1, 25--35, 77.
  • Inner amenability of foundation semigroup algebras. Bol. Soc. Mat. Mexicana . 13 (2007), no. 3, 65-72.
  • Ergodic theory of amenable semigroup actions. Proc. Indian Acad. Sci. Math. Sci. 117 (2007), no. 2, 177--183.
  • Amenable locally compact foundation semigroups. Vietnam J. Math. 35 (2007), no. 1, 33--41.
  • Characterizations of amenable locally compact groups. Southeast Asian Bull. Math. 31 (2007), no. 2, 239--244.
  • On ideals in some Banach algebras associated with a foundation semigroup. Int. Math. Forum 1 (2006), no. 29-32, 1459--1463.
  • Inner invariant means on a locally compact group. Int. Math. Forum 1 (2006), no. 29-32, 1453--1458.
  • Topologically left invariant means on semigroup algebras. Proc. Indian Acad. Sci. Math. Sci. 115 (2005), no. 4, 453—459.
  • (with Medghalchi) The socle and finite dimensionality of some Banach algebras. Proc. Indian Acad. Sci. Math. Sci. 115 (2005), no. 3, 327—330.
  • Convolution operators on semigroup algebras. Southeast Asian Bull. Math. 27 (2004), no. 6, 1025--1036.
  • (with Medghalchi) Characterization of operators on the dual of hypergroups which commute with translations and convolutions. Acta Math. Sin. (Engl. Ser.) 20 (2004), no. 2, 201--208.
  • The modulus of operators on group algebras. Tamkang J. Math. 35 (2004), no. 2, 95—100.
  • Convolution operators on the dual of hypergroup algebras. Comment. Math. Univ. Carolin. 44 (2003), no. 4, 669—679.
  • Topologically left invariant mean on dual semigroup algebras. Bull. Iranian Math. Soc. 28 (2002), no. 2, 69--75, 85.
  • Module homomorphisms associated with hypergroup algebras. J. Sci. Islam. Repub. Iran 13 (2002), no. 4, 363—365.
  • Weakly almost periodic functions on hypergroup algebras. Far East J. Math. Sci. (FJMS) 5 (2002), no. 3, 277—287.

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Papers Presented in Seminars and Conferences

  • On -amenability of some subspaces related to Banach algebras, The 19th Mathematical Seminar on Analysis and its Applications, February 2011, Mazandaran University.
  • Projections and invariant means on foundation semigroup algebras, Proceedings of the 40th Annual Iranian Mathematics Conference, September 2009, Sharif University of Technology.
  • Module homomorphisms associated with Banach algebras, Banach Algebras 2009, July 2009, Bedlewo, Poland.
  • (with Eskandarian, Z.) Translation invariant subspaces of group algebras, The 17th Mathematical Seminar on Analysis and its Applications, April 2008, Arak University.
  • c-topology on hypergroup algebras, The 20th International Congress of Jangjeon Mathematical Society, August 2008, Bursa-Turkey.
  • The modulus of right multipliers on group algebras, International Conference Analysis and Topology, June 2008, Lviv, Ukraine.
  • Weakly almost periodic and almost periodic homomorphisms on Banach algebras, Workshops of Inequalities, Harmonic, Wavelet and Fredholm, December 2008, Ferdowsi University of Mashhad.
  • Strongly and weakly almost periodic map on semigroup, MathEstia 2007, April 2007. Bidart, France.
  • Operators on group algebras, Proceedings of the 37th Annual Iranian Mathematics Conference, September 2006. Azarbijan University of Tarbiat Moallem.
  • Topologically left invariant mean on semigroups, Banach Algebras 2005, July 2005, Bordeaux, France.

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Courses

Courses Taught at the Undergraduate Level: i- Culcluse 1,2, ii- Analysis 1,2,3, iii- Complex functions, iv-Topology.

Courses Taught at the Postgraduate Level: i-Real Analysis, ii- Functional Analysis, iii- Harmonic Analysis 1,2, iv-Topics in functional analysis.

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Graduated M. Sc. Students

1. Gholamreza Asgari, 2. Ahmad Ahmadi 3. Zohre Eskendarian 4. Zahra Hasani Far 5- Fatemeh Rahimi 6. Taiyebeh Salimi Siahkalai 7. Mehdi Eslami, 8. Somaieh Amirjan 9. Elham Porhonar 10. Elham Rostami 11. Atefe Tajalli 12. Atefe Tohid Far 13. Zahra Khlili 14. Zohre Ghasemi 15. Maryam Famili 16. Maryam Kalami 17. Saideh Moazeni 18. Masomeh Sharifi.

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Graduate Students

1. Ahmad Alinejad, 2. Samaneh Javadi

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