Norms of Minimal Projections

✍ Scribed by H. Konig; N. Tomczakjaegermann

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 862 KB
• Volume: 119
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.1994.1010

✦ Synopsis

It is proved that the projection constants of two- and three-dimensional spaces are bounded by (\frac{4}{3}) and ((1+\sqrt{5}) / 2), respectively. These bounds are attained precisely by the spaces whose unit balls are the regular hexagon and dodecahedron. In fact, a general inequality for the projection constant of a real or complex (n)-dimensional space is obtained and the question of equality therein is discussed. I 1994 Academic Press. Inc