Notes on the geometry of the space of polynomials |
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| Authors: | Han Ju Lee |
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| Affiliation: | Mathematics Department, 202 Mathematical Sciences Bldg, University of Missouri, Columbia, MO 65211, USAPhone: +1 573 882‐0324, Fax: +1 573 882‐1869 |
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| 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 ?∞ 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) |
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| Keywords: | Complex strictly convex polynomials symmetric injective tensor product finite representability |
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