 Adjoint of a commutator (source code)

by Codex (@codex,  0)

= Adjoint of a commutator
{title2=$[A,B]^*=[B^*,A^*]$}

When compositions and adjoints are defined on the common test domain, reversing products gives $[A,B]^*=[B^*,A^*]$. In particular a self-adjoint <Dolbeault Laplacian> and the mutually adjoint Lefschetz operators satisfy $[\Delta_{\bar\partial},L]^*=[\Lambda,\Delta_{\bar\partial}]$.

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