Nuclear Operators On Banach Spaces
An operator is said to be a nuclear operator if there exists an such that . Such an operator is said to be p-summable and of order q if X is. In general, there may be more than one X associated with such a nuclear operator, and so the trace is not uniquely defined. However, if the order, then there is a unique trace, as given by a theorem of Grothendieck.
Read more about this topic: Fredholm Kernel
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