A linear operator 
from its domain 
into a Hilbert
space 
is closable if it has a closed extension 
where 
. Closable operators are sometimes called preclosed
(Takesaki 1970), and the extension 
of 
is sometimes called the closure of 
.
Closable Operator
See also
Closed Operator, Hilbert Space, Linear Operator, Operator ExtensionThis 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.Takesaki, M. Tomita's Theory of Modular Hilbert Algebras and its Applications. Berlin: Springer-Verlag, 1970.Cite this as:
Stover, Christopher. "Closable Operator." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ClosableOperator.html