2 problems
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The finite-first-moment span as a partial algebra
The finite-first-moment span conjecture. This span would satisfy the conditions of the partial-algebra characterization. However, this is false: the proposed span does not satisfy…
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Conjecture that a complete topological partial *-algebra with all elements bounded is an algebra
Boundedness-to-algebra conjecture. A complete topological partial -algebra whose elements are all bounded is necessarily an algebra.