Notes on the geometry of the space of polynomials

✍ Scribed by Han Ju Lee

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 86 KB
• Volume: 280
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200510579

✦ Synopsis

Abstract

We show that the symmetric injective tensor product space is not complex strictly convex if E is a complex Banach space of dim E ≥ 2 and if n ≥ 2 holds. It is also reproved that ℓ~∞~ is finitely represented in if E is infinite‐dimensional and if n ≥ 2 holds, which was proved in the other way in [3]. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)