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BK-space
In
functional analysis
and related
areas of mathematics
, a
BK-space
or
Banach
coordinate space
is a
sequence space
endowed
with a
suitable
norm
to
turn
it into a
Banach space
. All BK-spaces are
normable
FK-spaces.
Examples
the
space of convergent sequences
, the
space of vanishing sequences
and the
space of bounded sequences
under the
supremum norm
the space
of
absolutely p-summable sequences
with and the norm
