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Reflexive operator algebra
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<p>In <a href="/facts/Functional_analysis/MIp233MT">functional analysis</a>, a reflexive operator algebra <i>A</i> is an <a href="/facts/Operator_algebra/4fycDNQ1">operator algebra</a> that has enough <a href="/facts/Invariant_subspace/51Vm1W2X">invariant subspaces</a> to characterize it. Formally, <i>A</i> is reflexive if it is equal to the algebra of <a href="/facts/Bounded_operator/LYmDTIqR">bounded operators</a> which leave <a href="/facts/Invariant_(mathematics)/9TeNN2ed">invariant</a> each <a href="/facts/Linear_subspace/2wtKTgHL">subspace</a> left invariant by every operator in <i>A</i>. </p><p>This should not be confused with a <a href="/facts/Reflexive_space/g7Cjbw0S">reflexive space</a>. </p>