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Explains relative homology calculations for operator ideals, suggesting new insights into Banach spaces.
Our purpose in this paper is to explain how to calculate the relative homology corresponding to an operator ideal, presenting the raw Banach space facts as well as their homological translations. We will display a few extremal cases to show how different the standard derivation (relative to the operator ideal L L of all linear bounded maps) and relative derivation with respect to an operator ideal A A can be.
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Castillo et al. (2026) studied this question.
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