Published January 1, 2014
| Version v1
Journal article
Open
The polynomial dual of an operator ideal
- 1. Univ Fed Uberlandia, Fac Matemat, BR-38400902 Uberlandia, MG, Brazil
- 2. Yildiz Teknik Univ, Fen Edebiyat Fak, Matematik Bolumu, TR-34210 Istanbul, Turkey
Description
We prove that the adjoint of a continuous homogeneous polynomial between Banach spaces belongs to a given operator ideal if and only if admits a factorization where the adjoint of the linear operator belongs to . Several consequences of this factorization are obtained, for example we characterize the polynomials whose adjoints are absolutely -summing.
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