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arXiv · 1009.1064

Every Banach ideal of polynomials is compatible with an operator ideal

Daniel Carando·Verónica Dimant·Santiago Muro
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Abstract

We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of $n$-homogeneous polynomials belongs to a coherent sequence of ideals of $k$-homogeneous polynomials.

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Daniel Carando, Verónica Dimant, Santiago Muro. 2010-09-06. Every Banach ideal of polynomials is compatible with an operator ideal. https://doi.org/10.1007/s00605-010-0255-3

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