Let and be linear operators from domains and , respectively, into a Hilbert space . It is said that extends if and if for any vector .
Operator Extension
See also
Extension Problem, Hilbert Space, Linear OperatorThis 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. "Operator Extension." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/OperatorExtension.html