Niyazi Anıl Gezer

activity

20172020

collaborators

4 papers

math.FA2020

Induced actions of $B$ -Volterra operators on regular bounded martingale spaces

Nazife Erkurşun-Özcan, Niyazi Anıl Gezer

A positive operator $T : E \to E$ on a Banach lattice $E$ with an order continuous norm is said to be $B$ -Volterra with respect to a Boolean algebra $B$ of order…

math.FA2019

On Some Aspects of Pseudonorm Compact and Montel Operators on Locally Solid Vector Lattices

Nazife Erkurşun-Özcan, Niyazi Anıl Gezer

Unbounded convergences have been applied successfully to locally solid topologies on vector lattices. In the present paper, we first expose several properties of various classes of…

math.FA2017

Spaces of $uτ$ -Dunford-Pettis and $uτ$ -Compact Operators on Locally Solid Vector Lattices

Nazife Erkursun Ozcan, Niyazi Anil Gezer, Omid Zabeti

Suppose $X$ is a locally solid vector lattice. It is known that there are several non-equivalent spaces of bounded operators on $X$ . In this paper, we consider some situations unde…

math.FA2017

Dunford-Pettis and Compact Operators Based on Unbounded Absolute Weak Convergence

Nazife Erkursun Ozcan, Niyazi Anil Gezer, Omid Zabeti

In this paper, using the concept of unbounded absolute weak convergence ( $u a w$ -convergence, for short) in a Banach lattice, we define two classes of continuous operators, named $ua…

Induced actions of B-Volterra operators on regular bounded martingale spaces

On Some Aspects of Pseudonorm Compact and Montel Operators on Locally Solid Vector Lattices

Spaces of uτ-Dunford-Pettis and uτ-Compact Operators on Locally Solid Vector Lattices

Dunford-Pettis and Compact Operators Based on Unbounded Absolute Weak Convergence

Induced actions of $B$ -Volterra operators on regular bounded martingale spaces

Spaces of $uτ$ -Dunford-Pettis and $uτ$ -Compact Operators on Locally Solid Vector Lattices