SPECIAL OPERATORS ONTO SOME HYPERPLANES OF THE BANACH SPACE ʃ1n

Document Type : Research and Reference

Authors

Department of Mathematics, Faculty of Science, Ain shams University, Cairo, Egypt.

Abstract

In this paper, we showed that the space ʃ1n contains hyperplanes Y with maximal but better relative projection constants than that given before. Use geometry to construct the exact minimal norm projection from ʃ1n onto Y, and a positive answer to the question in a finite-dimensional Banach space X with dimension n, is their hyperplane with the greatest exact relative projection constants 2-  ?.