Dr. Mohammad Fozouni

Harmonic and Functional Analysis

Dr. Mohammad Fozouni

Harmonic and Functional Analysis

Academic Rank :

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- Ph. D. Harmonic Analysis, Kharazmi University (MGP link)

                Thesis: Homological and Cohomological Properties of Banach Algebras Based on Characters

                 Supervisor: Dr. Javad Laali
                 Advisor: Dr. Morteza Essmaili.
  - M. Sc. Mathematical Analysis, Kharazmi University, Tehran, Iran

                Thesis: Generalized Notions of Amenability
                 Supervisor: Prof. Alireza Medghalchi.

   - B. Sc. Pure Mathematics,  Payamnour University, Gonbad Kavous Branch.


- Head of the Mathematics and Statistics Department (Winter 2017- Winter 2019).


My Erdos Number is 4

- Mohammad Fozouni
- Javad Laali
- John. S. Pym
- Neil. B. Hindman
- Paul Erdos

Reference: MathSciNet


Contact Information:

Send email to me


Other Things:

Personal Webpage

Google Scholar Page



"History begans when humans invented gods and will end when humans become gods"

Dr. Yuval Noah Harari.  

Maybe this sentence isn't true in general, but I think it's a deep (and a little strange) insight of the histroy of human beings and would help us for thinking more and better. 


Reasearch Areas

1- General Theorey of Banach Algebras.

2- Functional and Abstract Harmonic Analysis.

3- Homological Properties of Banach Modules.

4- Locally Compact Quantum Group.

MSC: 43A07, 43A10, 43A15, 43A20, 46H05, 46H25, 46M10, 22D15.

Journal Papers


Selected publications:

1-  Some properties of functional Banach algebras, Facta Univ. Ser. Math. Inform. Vol. 28, No. 2 (2013), 189--196.

2-  On $(\sigma,\tau)$-module extension Banach algebras, J. Linear. Topological. Algebra. Vol. 03, No. 04  (2014), 185--194. (Unfortunately there is a corrigendum of this work that you can see here).

3-  Generalized injectivity of Banach modules, Sarajevo. J. Math. Vol.11 (24), No.2, (2015), 197--204.

4-  Hereditary properties of character injectivity with application to semigroup algebras, Ann. Funct. Anal. 6 (2015), No. 2, 162--172.

5-  On $\Delta$-weak $\phi$-amenability of Banach algebras, U. P. B. Sci. Bull. Series A. Vol. 77 (4), (2015),  165--176.

6-  Closed ideals with bounded $\Delta$-weak approximate identities in some certain Banach algebras, Miskolc Mathematical Notes, Vol. 17 (2016), No, 1, 413--420.

7- n-multipliers and their relations with n-homomorphisms, Vietnam J. Math., (2017) 45: 451--457.

8- $\phi$-injectivity and character injectivity of Banach modules, U. P. B. Sci. Bull. Series A, Vol. 78, Iss. 3, (2016), 43--52.

9- n-Jordan multipliers, Survey in Mathematics and its Applications, Vol. 13, (2018), 121--129.

10- On character space of the algebra of BSE-functions, Sahand Comminucations in Mathematical Analysis, to appear.

11- On a question related to  bounded approximate identities of ideals in Banach algebras, Rendiconti del Circolo Matematico di Palermo Series 2, to appear.

12- BSE property for some certain Segal and Banach algebras, Mediterranean Journal of Mathematics, to appear.


Submitted papers:

1- On bounded weak approximate identities and a new version of them.


In preparation papers and recent works:

1- I'm reading the locally compact quantum groups theory. It's wonderful, but very tough and complicated.

2- Two types of approximate identities depending on the character space of  Banach algebras.


Services for international communities:


1- Reviwer for MathSciNet.

2- Referee for Int. J. Nonlinear Anal. Apl.

3- Referee for Complex and Nonlinear Systems.



You can download and see my complete CV via the following link:

My Complete CV



i- A Characterization of Amenable Locally Compact Quantum Groups (In Persian).




You can download my M.Sc thesis and Ph.D dissertation in Persian via the following two links:

M.Sc, Generalized Notions of Amenability

Ph.D, Homological and Cohomological Properties of Banach Algebras Based on Characters


Weekly Schedule

My Weekly schedule  in the first semester of 2018-2019

Fourth Time

Third Time

Second Time

First Time



Mathematical Analysis

History of Mathematics



Calculus 1


Mathematical Analysis



Calculus 1

Calculus 1





Courses Taught

1- General Topology.

2- Algebraic Topology.

3- Calculus 1,2.

4- Foundation of Geometry.

5- Dynamical Systems.

6- Complex Functions.

7- Real Analysis 1.

Lecture Notes