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- W2344053583 abstract "Regular normalized $B(W_1,W_2)$-valued non-negative spectral measures introduced in cite{Zalar2014} are in one-to-one correspondence with unital $ast$-representations $rho:C(X,mathbb{C})otimes W_1 rightarrow W_2$, where $X$ stands for a compact Hausdorff space and $W_1, W_2$ stand for von Neumann algebras. In this paper we generalize this result in two directions. The first is to $ast$-representations of the form $rho:mathcal{B}otimes W_1rightarrow W_2$, where $mathcal{B}$ stands for a commutative $ast$-algebra $mathcal{B}$, and the second is to special (not necessarily bounded) $ast$-representations of the form $rho:mathcal{B}otimes W_1rightarrow mathcal{L}^+(mathcal{D})$, where $mathcal{L}^+(mathcal{D})$ stands for a $ast$-algebra of special linear operators on a dense subspace $mathcal{D}$ of a Hilbert space $mathcal{K}$." @default.
- W2344053583 created "2016-06-24" @default.
- W2344053583 creator A5079832901 @default.
- W2344053583 date "2014-11-04" @default.
- W2344053583 modified "2023-09-27" @default.
- W2344053583 title "Integral representations of *-representations of *-algebras" @default.
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