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Additional
Function space
English Wikipedia - The Free Encyclopedia
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Function space
In
mathematics
, a
function space
is a
set
of
function
s of a given
kind
from a set
X
to a set
Y
. It is called a
space
because in many applications it is a
topological space
(including
metric spaces
), a
vector space
, or both. Namely, if
Y
is a
field
, functions have inherent vector structure with two operations of
pointwise
addition
and
multiplication to a scalar
. Topological and metrical structures of function spaces are more diverse.
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