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.
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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.