FK-AK space

In functional analysis and related areas of mathematics, an FK-AK space or FK-space with the AK property is an FK-space which contains the space of finite sequences and has a Schauder basis.

Examples and non-examples

• the space of convergent sequences with the supremum norm has the AK property.
• () the absolutely p-summable sequences with the norm have the AK property.
• with the supremum norm does not have the AK property.

Properties

An FK-AK space has the property

that is the continuous dual of is linear isomorphic to the beta dual of

FK-AK spaces are separable spaces.

See also

References