Correction of ’’Extension of the statistical mechanics of equilibrium to noncummutative constraints’’ to cover singular constraints

In a previous paper, a Gibbs ensemble formula was given for that ensemble P which maximizes the entropy S=−TrP lnP subject to constraints TrP A i =Q i , where the A i need not commute. An oversight, namely, cases where the constraints though consistent force P to be singular, is here properly incorporated into the argument. The result is that one must first regard the constraints as limiting discussion as much as possible to a sub‐Hilbert space of constraint C, then the maximum entropy solution is indeed given by a Gibbs formula as before, but referring to matrices over C.