Dr. Mohammad Fozouni

Harmonic and Functional Analysis

Dr. Mohammad Fozouni

Harmonic and Functional Analysis

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Faculty :

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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. 


"We do not know and we will not know"

due to "Emil du Bois-Reymond"

"We must know and we will know"

due to "David Hilbert"

Certainly I belive the second quote. what's your reading and idea about these two quotes?



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, Vol. 12, Iss. 1, 187--194.

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

12- BSE property for some certain Segal and Banach algebras, Mediterranean Journal of Mathematics, Vol. 16, Iss. 2, April 2019.

13- On bounded weak approximate identities and a new version of them, to appear in Global Analysis and Discrete Mathematics.


Submitted papers:

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

2- Spaceability in Banach Spaces Related to Locally Compact Groups (in Persian).


In preparation works:

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

2- On a Banach algebra generated in the multiplier algebra by the left multiplications.


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 second semester of 2018-2019

Fourth Time

Third Time

Second Time

First Time



General Topology

General Topology




Foundations of Geometry

Foundations of Geometry



Algebraic Topology

Algebraic Topology





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

1- Hilbert Spaces in Functional Analysis (It has been submitted for the peer-reviewing process).