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Minimal ideals of n-homogeneous polynomials on Banach spaces

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Abstract

The minimal kernel of a p-Banach ideal of n-homogeneous polynomials between Banach spaces is defined as a composition ideal, characterized to be the smallest ideal which coincides with the given one on finite-dimensional spaces and represented through tensor products with appropriate norms.

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Correspondence to Klaus Floret.

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The main part of this paper was written during my stay at IMECC-Unicamp in March/April 2000. I am grateful for the hospitality of IMECC and for various fruitful conversations on the topic of this paper with R. Alencar, M. Matos, J. Mujica and, later on, with D. García. I thank the CNPq/GMD-agreement and FAEP-Unicamp for their support.

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Floret, K. Minimal ideals of n-homogeneous polynomials on Banach spaces. Results. Math. 39, 201–217 (2001). https://doi.org/10.1007/BF03322686

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