SpaceTest.inner

SpaceTest.inner()

Verify LinearSpace.inner.

The inner product is checked for the following properties:

• conjugate symmetry:

  <x, y> = <y, x>^* (^* complex conjugate)

• linearity:

  <a * x, y> = a * <x, y>

  <x + y, z> = <x, z> + <y, z>

• positive definiteness:

  <x, x> >= 0

References

Wikipedia article on inner product.