An question about antiunitary operator

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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

[tex]\langle A|A\rangle = \langle Ua, Ua\rangle[/tex]

because an antiunitary operator is still a norm preserving mapping.