International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 10, Pages 619-626
doi:10.1155/S0161171202112348
Some type of rotational scheme
Nashat Faried1
and Zeinab Abd El-Kader2
1Faculty of Science, Ain Shams University, Cairo, Egypt
2Faculty of Science, Helwan University, Cairo, Egypt
Abstract
The aim of this paper is to construct a rotational product scheme in the product of Banach spaces with rotational schemes. Besides we give an equivalent definition of the generalized Kolmogorov diameters suggested by Aksoy and Nakamura in 1986, and give the generalized Kolmogorov diameters of the product (∏ i∈n Di) of bounded subsets Di in the product of Banach spaces having schemes in terms of the generalized diameters of Di.