Geodesic
Modular sesquilinear forms and generalized Stinspring representation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2018), pp. 50-59.

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We consider completely positive maps defined on locally $C^{\ast}$-algebra and taking values in the space of sesquilinear forms on Hilbert $C^{\ast}$-module $\mathcal{M}$. We construct the Stinspring type representation for this type of maps and show that any two minimal Stinspring representations are unitarily equivalent.
Keywords: Hilbert $C^\ast$-module, locally $C^{\ast}$-algebra, sesquilinear form, completely positive map, positive definite kernel, Stinspring's representation.
Mots-clés : $\ast$-homomorphism 
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     title = {Modular sesquilinear forms and generalized {Stinspring} representation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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     number = {12},
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A. V. Kalinichenko; I. N. Maliev; M. A. Pliev. Modular sesquilinear forms and generalized Stinspring representation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2018), pp. 50-59. http://geodesic.mathdoc.fr/item/IVM_2018_12_a2/

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