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How to prove the following statement: fOperators on a Hilbert space [edit] Suppose /is a real or complex Hilbert space. If A: H- His a

How to prove the following statement:

\fOperators on a Hilbert space [edit] Suppose /is a real or complex Hilbert space. If A: H- His a bounded linear operator, then we have 1/ Allop = 1/A* llop

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