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by Pattrawut Chansangiam, Wicharn Lewkeeratiyutkul

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Pattrawut Chansangiam

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...ction. 2 We call f the representing function of σ. A connection also has a canonical characterization with respect to a Borel measure via a meaningful integral representation as follows. Theorem 1.2 (=-=[4]-=-). Given a finite Borel measure µ on [0, 1], the binary operation AσB = ∫ [0,1] A !tB dµ(t), A,B > 0 (1.1) is a connection on B(H)+. Moreover, the map µ 7→ σ is bijective, in which case the representi...

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Pattrawut Chansangiam

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...jection. We call f the representing function of σ. A connection also has a canonical characterization with respect to a Borel measure via a meaningful integral representation as follows. Theorem 1.2 (=-=[3]-=-). Given a finite Borel measure µ on [0, 1], the binary operation AσB = ∫ [0,1] A !tB dµ(t), A, B > 0 (1) is a connection on B(H)+. Moreover, the map µ 7→ σ is bijective, in which case the representin...

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