Daugavet spaces satisfy λ(Y,X)=1+λ(W,X*) for finite-codim Y, enabling subspaces of C[0,1] with arbitrary λ≥2 where the defining infimum is not attained.
Lewicki,Minimal extensions in tensor product spaces, J
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Finite-codimensional subspaces of Daugavet spaces: projection constants and minimal projections
Daugavet spaces satisfy λ(Y,X)=1+λ(W,X*) for finite-codim Y, enabling subspaces of C[0,1] with arbitrary λ≥2 where the defining infimum is not attained.