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Total subset
In
mathematics
, more
specifically
in
functional analysis
, a
subset
T
of a
topological vector space
X
is said to be a
total
subset of
X
if the
linear span
of
T
is a
dense subset
of
X
.
This
condition
arises
frequently
in many
theorems
of
functional
analysis
.
Examples
Unbounded
self-adjoint operators
on
Hilbert spaces
are defined on total
subsets
.
