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单词 closed graph theorem
释义 closed graph theorem
[¦klōzd ¦graf `thir·ǝm]
MATHEMATICS
If T is a linear transformation on Banach space X to Banach space Y whose domain D(T ) is closed and whose graph, that is, the set of pairs (x,Tx ) for x in D(T ), is closed in X × Y, then T is bounded (and hence continuous).
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