CONTENTS Introduction.........................................................................................................5 1. Conjugate norms in ℝⁿ..................................................................................10 2. Conjugate norms in
ℂⁿ..................................................................................16 3. Extremal properties of norms F(f,·) in pluripotential theory............................29 4. Biholomorphic inequivalence of some convex circular domains....................35 5. The complex method of interpolation and conjugate norms in ℂⁿ.................43 6. On tensor products $ℝⁿ ⊗ ℝ^{k}$ and $ℂⁿ ⊗ ℂ^{k}$....................................54 7. The complex interpolation of a complexification of a real Hilbert space.........62 References........................................................................................................65