(c) Consider any linear bounded operator B : H → H i. Show that B - † is anti-Hermitian and + B is Hermitian. ii. Show that B can be expressed as a linear combination of a Hermitian and an anti-Hermitian operator.
(c) Consider any linear bounded operator B : H → H i. Show that B - † is anti-Hermitian and + B is Hermitian. ii. Show that B can be expressed as a linear combination of a Hermitian and an anti-Hermitian operator.
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Transcribed Image Text:(c) Consider any linear bounded operator B : H →H
i. Show that B - B¹ is anti-Hermitian and  + B¹ is Hermitian.
ii. Show that B can be expressed as a linear combination of a Hermitian and
an anti-Hermitian operator.
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