Dr. Mohammad Fozouni

Harmonic and Functional Analysis

Dr. Mohammad Fozouni

Harmonic and Functional Analysis

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Biography

Educations:

- 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.

Responsibilities:

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

- Chairman of the 2nd National Congress on Mathematics and Statistics, Gonbad Kavous University, 20 February 2020.

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My Erdos Number is 4

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

Reference: MathSciNet

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Contact Information:

Send email to me

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Other Things:

Personal Webpage

Google Scholar Page

My arXive page

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Quote:

"History began 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. 

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"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.

5- Data Science (The only active research area these days, for me).   


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, 2(2020) 69: 15--19.

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 themGlobal Analysis and Discrete Mathematics, Vol. 4, Iss. 1, pp. 7--13.

14- Spaceability in Banach spaces related to locally compact groups, to appear in Mathematical Researches (Sci. Kharazmi University) (In Persian).

15- A p-ideal in BCI-Algebras based on Multipolar Intuitionistic Fuzzy Sets, Mathematics 2020, 8(6), 993. 

16- On bounded compact-weak approximate identities, Caspian Journal of Mathematical Sciences, in press. 

 

Submitted papers:

1- BSE property of the completion of Fourier algebra in its multiplier algebra (in Persian).

2- On a Banach algebra generated in its multiplier space and applications to locally compact groups.

 

What am I doing these days?

 

I'm reading & researching about Data Science which is a trend topic in the world over. It is a combination of Mathematics, Statistics and Computer Science.

I'm going to establish a research Data Science group in order to perform the real world problems projects. If you are interested, please do not hesitate and send an email for me as soon as possible. My email address is (x@hotmail.com) in which x is equal to fozouni.      

 

Services for international communities:

 

1- Reviwer for MathSciNet.

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

3- Referee for Complex and Nonlinear Systems.

4- Referee for Caspian Journal of Mathematical Sciences.

 

 

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

My Complete CV

 

Notes:

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

 

 

Theses

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

Duo to Coronavirus, the whole classes of this semester will be held electronically.

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- Topics in Hilbert Spaces, Gonbad Kavous University Press, 2019 (Download one section of this book). In order to buy this book, follow this link.