An question about antiunitary operator

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The discussion centers on the properties of antiunitary operators in quantum mechanics, specifically addressing the condition |A>=U|a> where U is an antiunitary operator. It is established that the inner product relation \langle A|A\rangle = \langle Ua, Ua\rangle holds true, confirming that antiunitary operators preserve norms. This property is crucial for understanding the implications of antiunitary transformations in quantum state manipulations.

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JamesBondi
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Condition: |A>=U|a> and U is an antiunitary operator，Question: <A|=？？？ Look forward your answers, thank you !
 
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Well, it's helpful to know that

\langle A|A\rangle = \langle Ua, Ua\rangle

because an antiunitary operator is still a norm preserving mapping.
 

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