A general Orlicz--Pettis theorem

This paper combines the McShane-Stieltjes integral and Pettis approaches by utilizing Pettis' definition, which coincides with the Dunford integral rather than the version applicab...

In this study will be characterized a matrix that maps the space of the Orlicz sequence space to the space of the bounded sequence and the convergence sequence. This study is carri...

AbstractIn a topological vector space, duality invariant is a very important property, some famous theorems, such as the Mackey-Arens theorem, the Mackey theorem, the Mazur theorem...

Our aim in this paper is to establish vanishing Morrey integrability for Riesz potentials of functions in Morrey-Orlicz spaces. We discuss the size of the exceptional sets by using...

The Cesaro sequence space , ( , which is the FK-space, has been generalized to the Cesaro-Orlicz sequence space . This prompted the study of several properties in  that have been k...

In computer science, proofs about computer algorithms are par for the course. Proofs by computer algorithms, on the other hand, are not so readily accepted....

Prime number-related issues can be viewed from drastically different perspectives by examining the close connections between prime numbers and composite numbers. We think that mult...

This dissertation aims at addressing two important theoretical questions which are still debated in the statistical mechanical community. The first question has to do with the outs...