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Operator theory
In
mathematics
,
operator theory
is the study of
linear operators
on
function spaces
, beginning with
differential operators
and
integral operators
. The operators may be presented abstractly by their characteristics, such as
bounded linear operators
or
closed operators
, and consideration may be given to
nonlinear operators
. The study, which depends heavily on the
topology
of function spaces, is a branch of
functional analysis
.
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