4.10 Inner Product Spaces - SlideServe

(a) Show that in an inner product space, x ⊥ y if and only if we have ||x ay|| = ||x - ay|| for all scalars α.(b) Show that in an inner product space, x ⊥ y if and only if ||x ay|| ≥ ||x|| for all scalars α.

b show that every inner product space is a normed space and every hilbert space is banach space and the converses of both the statements may not be true give examples 71607

Is The Interior Product Linear