ProductSpaceCustomInner

class odl.space.pspace.ProductSpaceCustomInner(inner)

Bases: CustomInner

Class for handling a user-specified inner products.

Attributes:

exponent

Exponent of this weighting.

impl

Implementation backend of this weighting.

inner

Custom inner product of this instance..

repr_part

String usable in a space's __repr__ method.

Methods

dist(x1, x2)	Calculate the distance between two elements.
equiv(other)	Test if other is an equivalent weighting.
norm(x)	Calculate the norm of an element.

__init__(inner)

Initialize a new instance.

Parameters:

innercallable

The inner product implementation. It must accept two ProductSpaceElement arguments, return a element from the field of the space (real or complex number) and satisfy the following conditions for all space elements x, y, z and scalars s:

• <x, y> = conj(<y, x>)

• <s*x + y, z> = s * <x, z> + <y, z>

• <x, x> = 0 if and only if x = 0