TOPICS
Search

Operator Extension

Let A:D(A)->H and B:D(B)->H be linear operators from domains D(A) and D(B), respectively, into a Hilbert space H. It is said that B extends A if D(A) subset D(B) and if Bv=Av for any vector v in D(A).

See also

Extension Problem, Hilbert Space, Linear Operator

This entry contributed by Christopher Stover

Explore with Wolfram|Alpha

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

Subject classifications