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 language | English |
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Pages (from-to) | 1798-1800 |
Number of pages | 3 |
Journal | Mathematische Nachrichten |
Volume | 280 |
Issue number | 16 |
DOIs | |
State | Published - 2007 |
Keywords
- Complex strictly convex
- Finite representability
- Polynomials
- Symmetric injective tensor product