Every Banach ideal of polynomials is compatible with an operator ideal
classification
🧮 math.FA
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idealpolynomialsbanachhomogeneouscompatibleoperatoranalogouslybelongs
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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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