Notes on the geometry of the space of polynomials

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the symmetric injective tensor product space ⊗̂n,s,εi? 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 ⊗̂ n,s,εE if E is infinite-dimensional and if n ≥ 2 holds, which was proved in the other way in [3].

Original languageEnglish
Pages (from-to)1798-1800
Number of pages3
JournalMathematische Nachrichten
Volume280
Issue number16
DOIs
StatePublished - 2007

Keywords

  • Complex strictly convex
  • Finite representability
  • Polynomials
  • Symmetric injective tensor product

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