A note on the Arens products

On the Arens Products and Certain Banach Algebras

In this paper, we study several problems in Banach algebras concerned with the Arens products.

Note on Cup-products

the effects of cognitive strategies- note making and underlining- on iranian efl learners’ reading comprehension

هدف از انجام این مطالعه ، بررسی اثرات استفاده از استراتژی های شناختی یعنی "نت برداری" و "زیر خط کردن" بر روی عملکرد درک مطلب زبان آموزان ایرانی می باشد. به این منظور، 60 زبان آموز دختر سال چهارم دبیرستان از طریق آزمون پیشرفت زبان انگلیسی (نلسون)، از یک جامعه آماری بزرگتر انتخاب شدند. سپس به صورت تصادفی به سه گروه که هر گروه شامل ?0 دانش آموز همسان بود، تقسیم شدند: دو گروه آزمایش(گروه "نت برداری...

A Note on the Boundary Shape of Matrix Polytope Products

Motivated by interval matrix multiplication we consider (matrix) polytopes A ⊆ R, B ⊆ R, m,n, k ∈ N, and investigate the boundary shape of their pointwise product AB := {AB | A ∈ A, B ∈ B}. We prove that AB cannot have outward curved boundary sections while inward curved sections may exist. This is achieved by a simple local extreme point analysis. Results are proved in a more general abstract ...

A Note On the Statistical Difference of Small Direct Products

We demonstrate that if two probability distributions D and E of sufficiently small minentropy have statistical difference ε, then the direct-product distributions D and E have statistical difference at least roughly ε √ l, provided that l is sufficiently small, smaller than roughly 1/ε. Previously known bounds did not work for few repetitions l, requiring l > 1/ε.