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I need to know which norms can be consistently decomposed in the sense that if I take a vector $ v = (a,b,c)$ and build a vector $ v’ = (\|(a,b)\|,c)$ we have $ \|v\| = \|v’\|$ . More precisely, let $ v = \sum_{i=1}^n v_ie_i$ be a finite-dimensional vector, and $ \{P_j\}_{j=1}^k$ a partitionRead more