Notes on the geometry of the space of polynomials

Han Ju Lee

doi:10.1002/mana.200510579

Notes on the geometry of the space of polynomials

Han Ju Lee

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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
Pages (from-to)	1798-1800
Number of pages	3
Journal	Mathematische Nachrichten
Volume	280
Issue number	16
DOIs	https://doi.org/10.1002/mana.200510579
State	Published - 2007

Keywords

Complex strictly convex
Finite representability
Polynomials
Symmetric injective tensor product

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AB - 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].

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KW - Finite representability

KW - Polynomials

KW - Symmetric injective tensor product

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JF - Mathematische Nachrichten

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ER -

Notes on the geometry of the space of polynomials

Abstract

Keywords

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