Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Youssef Azouzi"'
Autor:
Youssef Azouzi
Publikováno v:
Journal of Mathematical Analysis and Applications. 472:216-230
The notion of unboundedly order converges has been recieved recently a particular attention by several authors. The main result of the present paper shows that the notion is efficient and deserves that care. It states that a vector lattice is univers
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2e88336f3b51db3208b2a28c5c5aa45
https://doi.org/10.1016/j.jmaa.2018.11.019
https://doi.org/10.1016/j.jmaa.2018.11.019
Autor:
Youssef Azouzi, Youssef Nasri
Every Dedekind complete Riesz space X has a unique sup-completion X^{s}, which is a Dedekind complete lattice cone. This paper aims to present a systematic study this cone by extending several known results to general setting, proving new results and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14e782564210c0a8ec345568be0756e7
http://arxiv.org/abs/2104.13664
http://arxiv.org/abs/2104.13664
Autor:
Youssef Azouzi, Mohamed Amine Ben Amor
Publikováno v:
Trends in Mathematics ISBN: 9783030709730
In this paper we continue the study of compact-like operators in lattice normed spaces started recently by Aydin, Emelyanov, Erkursun Ozcan and Marabeh. We show among others, that every p-compact operator between lattice normed spaces is p-bounded. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a5c8d26856c47a32d64257fa4b6ca9c3
https://doi.org/10.1007/978-3-030-70974-7_3
https://doi.org/10.1007/978-3-030-70974-7_3
Autor:
Kawtar Ramdane, Youssef Azouzi
The main purpose of this paper is to give a vector lattice version of a Theorem by Burkholder about convergence of martingales. The proof is based on a vector lattice analogue of Austin's sample function theorem, proved recently by Grobler, Labuschag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58ae206592214ebd0f9c94f225b51f09
Autor:
Youssef Azouzi
Publikováno v:
The American Mathematical Monthly. 125:457-461
A sequence in a metric space is said to be slow if the distance between consecutive terms approaches zero. If a slow sequence lies in a compact metric space or in the real line, then the set of its...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::edf048cf38a86ee189b38e03ff8f1e5e
https://doi.org/10.1080/00029890.2018.1436835
https://doi.org/10.1080/00029890.2018.1436835
Publikováno v:
Quaestiones Mathematicae. 41:359-369
In this paper we prove that the Fremlin tensor product of two f-algebras can be endowed with an f-algebra structure and satisfies an appropriate universal property. In particular, the Riesz...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53f90d8c95a3606bb988ae0d8f4a585b
https://doi.org/10.2989/16073606.2017.1382018
https://doi.org/10.2989/16073606.2017.1382018
Autor:
Youssef Azouzi, Kawtar Ramdane
Publikováno v:
Indagationes Mathematicae. 28:1076-1094
In this paper, the extent to which the Burkholder Inequalities in classical Stochastic Analysis can be generalized to the new Theory of Stochastic Analysis in Riesz spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e22a623d2b8b689cad36be8aa3c067de
https://doi.org/10.1016/j.indag.2017.07.007
https://doi.org/10.1016/j.indag.2017.07.007
Autor:
Youssef Azouzi, Kawtar Ramdane
Publikováno v:
Quaestiones Mathematicae; Vol 41, No 2 (2018); 257-264
The notion of distribution function with respect to a conditional expectation is defined and studied in the framework of Riesz spaces.Keywords: Riesz space, conditional expectation operator, distribution function, Daniell integral
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e0456d9face993a421d30aecd819de4
https://doi.org/10.2989/16073606.2017.1377310
https://doi.org/10.2989/16073606.2017.1377310
Autor:
Youssef Azouzi, Mohamed Amine Ben Amor
Publikováno v:
Algebra universalis. 78:119-124
Let B be an Archimedean reduced f-ring. A positive element $${\omega}$$ in B is said to satisfy the property $${(\ast)}$$ if for every f-ring A with identity e and every $${\ell}$$ -group homomorphism $${\gamma : A \rightarrow B}$$ with $${\gamma(e)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40ab5f82584e87462beba5d79760d083
https://doi.org/10.1007/s00012-017-0445-0
https://doi.org/10.1007/s00012-017-0445-0
Autor:
Youssef Azouzi, Mejdi Trabelsi
Publikováno v:
Journal of Mathematical Analysis and Applications. 447:798-816
Recently, Labuschagne and Watson introduced the space L2(T) for a conditional expectation T with natural domain a Riesz space L1(T). The main purpose of this paper is to carry on with this process by introducing and investigate the spaces Lp(T) with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::137727df5e926a7fed741144f38f121a
https://doi.org/10.1016/j.jmaa.2016.10.013
https://doi.org/10.1016/j.jmaa.2016.10.013