Densely defined operator
Function that is defined almost everywhere (mathematics) / From Wikipedia, the free encyclopedia
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In mathematics – specifically, in operator theory – a densely defined operator or partially 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 arise in functional analysis as operations that one would like to apply to a larger class of objects than those for which they a priori "make sense".[clarification needed]
A closed operator that is used in practice is often densely defined.