A linear operator 
from its domain 
into a Hilbert
space 
is closed if for any sequence of vectors 
such that 
and 
as 
, it follows that 
and 
.
Closed Operator
See also
Closed Set, Linear Operator, Operator, Sequence, VectorThis entry contributed by Christopher Stover
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References
Loss, M. "About Closed Operators." 2013. http://people.math.gatech.edu/~loss/13Springtea/closedoperators.pdf.Cite this as:
Stover, Christopher. "Closed Operator." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ClosedOperator.html