ON $\[\sigma \]$-FINITE INTEGRALS ON $\[{C^*}\]$-ALGEBRAS
Citation：
Lin Huaxin.ON $\[\sigma \]$-FINITE INTEGRALS ON $\[{C^*}\]$-ALGEBRAS[J].Chinese Annals of Mathematics B,1989,10(4):537~548
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Authors：
Lin Huaxin;
Foundation：
This work was done when the author was in University of California, Santa Barbara.
Abstract：
This paper considers positive linear functionals $f$ defined on a dense-subalgebra which is an analogue of the continuous functions with compact supports, of a $\[{C_*}\]$-algebra
$\[{L^1}\]$-spaces associated with $f$ are studied. Also introduced is an analogue of the bounded Borel functions vanishing at infinity.
