Department of Mathematics MATH4010 Functional Analysis Homework 6
Notice: • All the assignments must be submitted before the deadline. • Each assignment should include your name and student ID number. 1. Prove that in a complex (resp. real) inner product space, x ⊥ y if and only if kx + λyk = kx − λyk for all scalars λ ∈ C (resp. R). — THE END — 1
