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WEAKLY UNBOUNDED OPERATOR ALGEBRAS

1977
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Memoirs of the Faculty of Science Kyushu University Series A Mathematics
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gl. Introduction In the previous paper [7] we defined a weakly (resp. strictly) unbounded Erv#-algebra and obtained the following fact: If ut is an EPV#-algebra, then there exists a projection E in et, n ptS such that wrE is a weakly unbounded EPV#-algebra, Qti-E is a strictly unbounded EW#-algebra and 9.t equals the product utEÅ~ Qti-E of the EW'-algebras or. and 9J,-E. The primary purpose of this paper is to investigate linear functionals on a weakly unbounded EPV#-algebra. In g3, we shall

doi:10.2206/kyushumfs.31.267
fatcat:m2qregcbuvhtbpo3cdcysr4rwy