FK-AK space
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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.
[edit] Examples and non-examples
- c0 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
[edit] Properties
An FK-AK space E has the property
that is the continuous dual of E is linear isomorphic to the beta dual of E.
FK-AK spaces are separable
the
norm have the AK property
with the supremum norm does not have the AK property