We investigate the ideal 𝒦up, 1 ≤ 𝑝 ≤ ∞, of unconditionally 𝑝-compact operators. We obtain theisometricidentities 𝒦up = 𝒦up o 𝒦up, K up max = L p* sur , K up min = ⊗ ^ / w p* and K up = N up ...

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