Kadison's theorem is proved for countable weak-operator compact sets of bounded self-adjoint operators, and results on maximal lower bounds and greatest positive lower bounds are generalized to finite sets of positive matrices and commuting operators.
Stott,Minimal upper bounds in the Löwner order and application to invariant computation for switched systems, Theses, Université Paris Saclay (COmUE), November 2017
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Remarks on infimum and maximal lower bounds of a set of bounded self-adjoint operators
Kadison's theorem is proved for countable weak-operator compact sets of bounded self-adjoint operators, and results on maximal lower bounds and greatest positive lower bounds are generalized to finite sets of positive matrices and commuting operators.