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arXiv · 1905.10663

The complexity of some ordinal determined classes of operators

R. M. Causey
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Abstract

We compute the complexity of the classes of operators $\mathfrak{G}_{\xi, \zeta}\cap \mathcal{L}$ and $\mathfrak{M}_{\xi, \zeta}\cap \mathcal{L}$ in the coding of operators between separable Banach spaces. We also prove the non-existence of universal factoring operators for both $\complement \mathfrak{G}_{\xi, \zeta}$ and $\complement \mathfrak{M}_{\xi, \zeta}$. The latter result is an ordinal extension of a result of Johnson and Girardi.

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R. M. Causey. 2019-05-25. The complexity of some ordinal determined classes of operators. https://arxiv.org/abs/1905.10663

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