L0 “Norm” (||·||0)
  • is a norm (||·||) defined as ||𝑣̅|| = 𝐿0 = ||𝑣̅||0 = 𝛴1≤𝑖≤𝑛|𝑣̅𝑖|0 where 𝑣̅ is a vector in ℝ𝑛(where 00 = 0)
  • is not a real norm because it fails the absolute homogeneity property:
    • ||𝑠𝑣|| = |𝑠|·||𝑣|| for all 𝑣∈𝑉and all scalars 𝑠