Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Zabeti, Omid"'
Autor:
Zabeti, Omid
Suppose E and F are locally convex-solid vector lattices. Although we have a suitable vector lattice structure for the tensor product E and F (known as the Fremlin tensor product and denoted by E\otimesF), there is a lack of topological structure on
Externí odkaz:
http://arxiv.org/abs/2405.07073
Autor:
Zabeti, Omid
Suppose $X$ is a topological space and $S(X)$ is the vector lattice of all equivalence classes of real-valued continuous functions on open dense subsets of $X$. Although, $S(X)$ is not a normed lattice, we can have unbounded norm topology ($un$-topol
Externí odkaz:
http://arxiv.org/abs/2404.02851
Autor:
Zabeti, Omid
Suppose ? is a topological space and S(?) is the vector lattice of all equivalence classes of continuous real-valued functions defined on open dense subsets of ?. In this paper, we establish some lattice and topological aspects of S(?). In particular
Externí odkaz:
http://arxiv.org/abs/2309.00301
Autor:
Zabeti, Omid
Suppose $E$ is a Banach lattice. Recently, there have been some motivating contexts regarding the known Banach-Saks property and the Grothendieck property from an order point of view. In this paper, we establish these results for operators that enjoy
Externí odkaz:
http://arxiv.org/abs/2212.08342
Autor:
Zabeti, Omid
Suppose $X$ is a locally solid vector lattice. It is known that there are several non-equivalent notions for compact operators on $X$. Furthermore, notion of the $AM$-property in $X$ as an extension for the $AM$-spaces in Banach lattices has been con
Externí odkaz:
http://arxiv.org/abs/2201.12429
Autor:
Zabeti, Omid
In this note, we consider several notions related to the Grothendieck property. Among them, we introduce the notion "unbounded Grothendieck property" in a Banach lattice as an unbounded version of the known Grothedieck property in the Banach space th
Externí odkaz:
http://arxiv.org/abs/2109.01360
Autor:
Sabbagh, Raheleh, Zabeti, Omid
The main aim of the present note is to consider bounded orthomorphisms between locally solid vector lattices. We establish a version of the remarkable Zannen theorem regarding equivalence between orthomomorphisms and the underlying vector lattice to
Externí odkaz:
http://arxiv.org/abs/2012.09396
Autor:
Zabeti, Omid
The aim of this note is to consider different notions for the Banach-Saks property in locally solid vector lattices as an extension for the known concepts of the Banach-Saks property in Banach lattices. We investigate relations between them; in parti
Externí odkaz:
http://arxiv.org/abs/2010.13377
Autor:
Zabeti, Omid
Motivated by the equivalent definition of a continuous operator between Banach spaces in terms of weakly null nets, we introduce unbounded continuous operators by replacing weak convergence with the unbounded absolutely weak convergence ( $uaw$-conve
Externí odkaz:
http://arxiv.org/abs/2007.05734
Autor:
Zabeti, Omid
Motivated by the recent definition of $AM$-property in locally solid vector lattices [O. Zabeti, arXiv: 1912.00141v2 [math.FA]], in this note, we try to investigate those results in the category of all locally solid lattice rings. In fact, we charact
Externí odkaz:
http://arxiv.org/abs/2002.04419