The paper introduces an analogue of the Reid class for Banach spaces over valued fields, verifies a classification theorem for its structural hierarchy, and applies it to distinguish specific C_p-spaces and limit their expressibility via direct sums and products.
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Structural Hierarchy of Reid Class of non-Archimedean Banach Spaces
The paper introduces an analogue of the Reid class for Banach spaces over valued fields, verifies a classification theorem for its structural hierarchy, and applies it to distinguish specific C_p-spaces and limit their expressibility via direct sums and products.