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单词 Fredholm operator
释义

Fredholm operator

英语百科

Fredholm operator

In mathematics, a Fredholm operator is an operator that arises in the Fredholm theory of integral equations. It is named in honour of Erik Ivar Fredholm.

A Fredholm operator is a bounded linear operator between two Banach spaces, with finite-dimensional kernel and cokernel, and with closed range. (The last condition is actually redundant.) Equivalently, an operator T : X  Y is Fredholm if it is invertible modulo compact operators, i.e., if there exists a bounded linear operator

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