## About

9

Publications

530

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8

Citations

Citations since 2017

Introduction

Abotaleb Sheikhali does research in Analysis Mathematics. Their current project is 'Aron-Berner regularity of bounded tri-linear map'.

**Skills and Expertise**

## Publications

Publications (9)

In this Article, we give a simple criterion for the regularity of a tri-linear mapping. We provide if $f:X\times Y\times Z\longrightarrow W $ is a bounded tri-linear mapping and $h:W\longrightarrow S$ is a bounded linear mapping, then $f$ is regular if and only if $hof$ is regular. We also shall give some necessary and sufficient conditions such th...

Let $f:X\times Y\times Z\longrightarrow W $ be a bounded tri-linear map on normed spaces. We say that $f$ is close-to-regular when $f^{t****s}=f^{s****t}$ and $f$ is Aron-Berener regular when all natural extensions are equal. In this manuscript, we have some results on the Aron-Berner regular maps. We investigate the relation between Arens regulari...

Let f : X × Y × Z −→ W be a bounded tri-linear map on normed spaces. We say that f is close-to-regular when f t * * * * s = f s * * * * t and we say that f is Aron-Berner regular when all natural extensions are equal. In this manuscript, we give a simple criterion for the close-to-regularity of tri-linear maps.

Let X, Y, Z and W be normed spaces and f : X × Y × Z −→ W be a bounded tri-linear mapping. In this manuscript, we introduce the topological centers of bounded tri-linear mapping and we invistagate their properties. We study the relationships between weakly compactenss of bounded linear mappings and regularity of bounded tri-linear mappings. We exte...

در این مقاله به خواص آرنز منظم نگاشت دو خطی کراندار میپردازیم و نشان میدهیم که نگاشت دو خطی کراندار آرنز منظم است اگر و تنها اگر نگاشت خطی با ضابطۀ ضعیف فشرده باشد. سپس قضیهای را اثبات میکنیم که ویژگی ضعیف فشردگی نگاشت دو خطی کراندار و آرنز منظم را به یکدیگر مرتبط میسازد. همچنین به بررسی آرنز منظم و خاصیت ضعیف فشردگی نگاشتهای خطی کراندا...

Let $X,Y,Z$ and $W$ be normed spaces and $f:X\times Y\times Z\longrightarrow W $ be a bounded tri-linear mapping. In this Article, we define the topological centers for bounded tri-linear mapping and we invistagate thier properties. We study the relationships between weakly compactenss of bounded linear mappings and regularity of bounded tri-linear...

Let $f:X\times Y\times Z\longrightarrow W $ be a bounded tri-linear map on normed spaces. We say that $f$ is close-to-regular when $f^{t****s}=f^{s****t}$ and we say that $f$ is completely regular when all natural extensions are equal. In this manuscript, we have some results on the close-to-regular maps and investigate the close-to-regularity of t...

Let X, Y and Z be normed spaces. In this article we give a tool to investigate Arens regularity of a bounded bilinear map f : X Y Z. Also, under some assumptions on and , we give some new results to determine reflexivity of the spaces.

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Cited