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Additional
compact operator
English Wikipedia - The Free Encyclopedia
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Compact operator
In
functional analysis
, a branch of
mathematics
, a
compact operator
is a
linear operator
L
from a
Banach space
X
to another Banach space
Y
, such that the image under
L
of any bounded subset of
X
is a
relatively compact
subset of
Y
. Such an operator is necessarily a
bounded operator
, and so continuous.
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