SPECIAL OPERATORS ONTO SOME HYPERPLANES OF THE BANACH SPACE ʃ1n | ||||
Delta Journal of Science | ||||
Article 1, Volume 30, Issue 1, June 2006, Page 1-5 PDF (2.46 MB) | ||||
Document Type: Research and Reference | ||||
DOI: 10.21608/djs.2006.153629 | ||||
View on SCiNiTO | ||||
Authors | ||||
E. Shobaky; Mohammed Ali | ||||
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- ?. | ||||
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