A Stinespring type representation for operators in Hilbert modules over local $C^\star$-algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2012), pp. 51-58
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We prove an analog of the Stinespring theorem for Hilbert modules over local $C^\star$-algebras.
Mots-clés :
Hilbert modules
Keywords: local $C^\star$-algebras, local Hilbert spaces, $(\star)$-homomorphisms, completely positive maps.
Keywords: local $C^\star$-algebras, local Hilbert spaces, $(\star)$-homomorphisms, completely positive maps.
@article{IVM_2012_12_a4,
author = {I. N. Maliev and M. A. Pliev},
title = {A {Stinespring} type representation for operators in {Hilbert} modules over local $C^\star$-algebras},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {51--58},
publisher = {mathdoc},
number = {12},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2012_12_a4/}
}
TY - JOUR AU - I. N. Maliev AU - M. A. Pliev TI - A Stinespring type representation for operators in Hilbert modules over local $C^\star$-algebras JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2012 SP - 51 EP - 58 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2012_12_a4/ LA - ru ID - IVM_2012_12_a4 ER -
%0 Journal Article %A I. N. Maliev %A M. A. Pliev %T A Stinespring type representation for operators in Hilbert modules over local $C^\star$-algebras %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2012 %P 51-58 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2012_12_a4/ %G ru %F IVM_2012_12_a4
I. N. Maliev; M. A. Pliev. A Stinespring type representation for operators in Hilbert modules over local $C^\star$-algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2012), pp. 51-58. http://geodesic.mathdoc.fr/item/IVM_2012_12_a4/