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Let be linear spaces. Let be a linear operator :where is domain of . Then, the operator is called "densely-defined" or "partially-defined" if is dense in , in other words, if the closure of coincides with .
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Densely-defined operator — In mathematics mdash; specifically, in operator theory mdash; a densely defined operator is a type of partially defined function; in a topological sense, it is a linear operator that is defined almost everywhere . Densely defined operators often… … Wikipedia
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