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Modular Sesquilinear Forms and Generalized Stinespring Representation |
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| Authors: | A V Kalinichenko I N Maliev M A Pliev |
| Institution: | 1.North-Caucasian Institute of Mining and Metallurgy named after K. L. Khetagurov (State Technological University),Vladikavkaz,Russia;2.North-Ossetian State University,Vladikavkaz,Russia;3.Southern Mathematical Institute,Vladikavkaz Scientific Center of the Russian Academy of Sciences,Vladikavkaz,Russia |
| Abstract: | We consider completely positive maps defined on locally C*-algebra and taking values in the space of sesquilinear forms on Hilbert C*-module M. We construct the Stinespring type representation for this type of maps and show that any two minimal Stinespring representations are unitarily equivalent. |
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