O. Zabeti

activity

20242026

collaborators

5 papers

math.FA2026

A Note on Unbounded Convergences in Fremlin Projective Tensor Products

Omid Zabeti

We prove that the Fremlin projective tensor product of Banach lattices preserves unbounded norm convergence and unbounded absolute weak convergence of elementary tensors without an…

math.FA2026

Fremlin tensor product of Banach lattices and unbounded convergences

Omid Zabeti

Let $E$ and $F$ be Banach lattices. In this short note, we consider several conditions under them, the Fremlin projective tensor product $E \otimes F$ respects either the u…

math.FA2026

Order Continuous and Topological Representations of Archimedean Vector Lattices via $S (X)$ -spaces

Omid Zabeti

For an arbitrary topological space $X$ , assume that $S (X)$ is the vector lattice of all equivalence classes of real-valued continuous functions on open dense subsets of $X$ ; it is…

math.FA2025

Fremlin tensor product behaves well with the unbounded order convergence

Omid Zabeti

Suppose $I^£$ is a topological space and $S (I^£)$ is the vector lattice of all equivalent classes of continuous real-valued functions defined on open dense subsets of $I^£$ . In this p…

math.FA2024

A topology on the Fremlin tensor product of locally convex-solid vector lattices

Omid Zabeti

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 a…

A Note on Unbounded Convergences in Fremlin Projective Tensor Products

Fremlin tensor product of Banach lattices and unbounded convergences

Order Continuous and Topological Representations of Archimedean Vector Lattices via S(X)-spaces

Fremlin tensor product behaves well with the unbounded order convergence

A topology on the Fremlin tensor product of locally convex-solid vector lattices

Order Continuous and Topological Representations of Archimedean Vector Lattices via $S (X)$ -spaces