Researcher at IPEST, University of Carthage and member of the LATAO LR11ES12 research laboratory, his research focuses on probability theory in ordered spaces. Lately, he has been interested in Banach lattices and in applications of ordered spaces to finance and economics. He is also interested in operator theory and has collaborated with researchers in Europe (ICMAT Madrid) and Africa (Wits University, South Africa).
Publications
- Y. Azouzi, K. Boulabiar and G. Buskes, The de Schipper formula and squares of Riesz spaces, Indag Mathem, N.S., 17 (4), (2006) 479-496.
- Y. Azouzi, K. Boulabiar, A characterization of complex lattice homomorphisms, Positivity 13 (2009), 31–37.
- Y. Azouzi, K. Boulabiar, Gleason-Kahane-Zelasko Theoremf for complex Riesz algebras. Roky Mountain Journal of Mathematics Volume 40, Number 1, 2010.
- Y. Azouzi and F. Ben Amor, Subspaces and operators with the Stone condition, Positivity 14, 2010 ,585-593.
- Y. Azouzi, F. Ben Amor, and K. Boulabiar, Non-affine functions and realcompact spaces, Math. Nachr. 287, No.1, (2014) 5-9.
- Y. Azouzi, W. C. Kuo, K. Ramdane and B. A. Watson, Convergence in Riesz spaces with conditional expectation operators, Positivity, 19 (2015), 647-657.
- Y. Azouzi and K. Ramdane, \textit{Burkholder Inequalities in Riesz spaces, }Indag. Math. (N.S.) 28 (2017), no. 5, 1076–1094.
- Y. Azouzi and M. A. Ben Amor, On von Neumann regular elements in f-rings, Algebra Univers. 78 (2017) 119–124
- Y. Azouzi, M. Trabelsi, Lp-spaces with respect to conditional expectation on Riesz spaces, J. Math. Anal. Appl., 447 (2017), 798-816.
- Y. Azouzi and K. Ramdane, On the distribution function with respect to conditional expectation on Riesz spaces, Quaest. Math. 41 (2) (2018) 257–264,
- Y. Azouzi, M. A. Ben Amor and J. Jabeur, The tensor product of function-algebras, Quaest. Math. 41 (3) (2018) 359-369
- Y. Azouzi, Cluster points of slow sequences, The American Mathematical Monthly, (2018) 125:5, 457-461.
- Y. Azouzi, Completeness for vector lattices, J. Math. Anal. Appl. 472 (2019) 216-230.
- Y. Azouzi, M. A. Ben Amor, On Compact operators between lattice normed spaces, Positivity and its applications, Positivity X, 8-12 July 2019, Pretoria, South Africa, Trends in mathematics, 21-29
- Y. Azouzi, K. Ramdane, Burkholder Theorem in Riesz spaces, Positivity volume 25, p. 2157–2171 (2021)
- Y. Azouzi, Y. Nasri, The sup-completion of a Dedekind complete vector lattice, J. Math. Anal. Appl. 506 (2022)
- Y. Azouzi, M.A. Ben Amor, J. Homann, M. Masmoudi, and B. Watson, The Kac formula and Poincaré recurrence theorem in Riesz spaces, to appear in Proceeding of the American Mathematical society.
- Y. Azouzi, Y. Nasri, Generating fuinction in Riesz spaces, submitted.
Conferences
- Cartapos 06, Tunis : Talk : The de schipper formula and Riesz spaces
- Positivity VI: (El Escorial, Madrid 2009) Talk : Matrix of an almost f-algebra
- Positivity VIII, Chengdu, Talk : Tensor product of f-algebras.
- Positivity IX, Alberta, Canada. (2017), Talk: Lp spaces with respect to a conditional expactation on Ries spaces.
- Workshop on Order and Banach Spaces, Tunisie, Cité des Sciences, Tunis (2017), Talk : Komlòs Theorem, Komlòs property, Komlòs space.
- Workshop on Order and Banach Spaces, Tunisie, Cité des Sciences. Tunis, (2018), Lecture : Unbounded order convergence.
- Positivity X, Pretoria, Afrique de Sud, 2019, (Pleanary speaker), Talk : Completeness for vector lattices.
- Conference on Ordered Structures with Applications in Economy and Finance (COSAEF), on line (3-7 May, 2021), Talk : Bokholder Theorem in Riesz spaces
- SMT congres (March, 2022), Talk : Different kinds of convergences
- Workshop in Banach spaces and Banach lattices II (Madrid, May, 2022), Talk : On unbounded norm convergence in Banach lattices.
- Functional Analysis and Operator Theory (South-Africa, September-October 2022), Talk : Borel-Cantelli Lemma and applications
- Days on Order structures and related topics, Tunisia Hammamet (December 2022), Talk : T-completeness in Riesz spaces
- Conference on Ordered Structures with Applications (February 2023), Talk : Inequalities in Riesz spaces.