Continuous Linear Extension
In functional analysis, it is often convenient to define a linear transformation on a complete, normed vector space by first defining a linear transformation on a dense subset of and then extending to the whole space via the theorem below. The resulting extension remains linear and bounded (thus continuous).
This procedure is known as continuous linear extension.
Read more about Continuous Linear Extension: Theorem, Application, The Hahn–Banach Theorem
Famous quotes containing the words continuous and/or extension:
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