Modules, completely positive maps, and a generalized KSGNS construction - Mathematics > Operator AlgebrasReport as inadecuate




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Abstract: A very general KSGNS type dilation theorem in the context of right notnecessarily Hilbert modules over $C^*$-algebras is presented. The proof usesKolmogorov type decompositions for positive-definite kernels with values inspaces of sesquilinear maps. More specific functional analytic applications areobtained by adding assumptions.



Author: Juha-Pekka Pellonpää, Kari Ylinen

Source: https://arxiv.org/







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