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- W2952488362 abstract "Let $A$ be a von Neumann algebra with no direct summand of Type $roman I_2$, and let $scr P(A)$ be its lattice of projections. Let $X$ be a Banach space. Let $m:scr P(A)to X$ be a bounded function such that $m(p+q)=m(p)+m(q)$ whenever $p$ and $q$ are orthogonal projections. The main theorem states that $m$ has a unique extension to a bounded linear operator from $A$ to $X$. In particular, each bounded complex-valued finitely additive quantum measure on $scr P(A)$ has a unique extension to a bounded linear functional on $A$." @default.
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- W2952488362 date "1992-04-01" @default.
- W2952488362 modified "2023-09-23" @default.
- W2952488362 title "The Mackey-Gleason Problem" @default.
- W2952488362 hasPublicationYear "1992" @default.
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