I. N. Maliev, M. A. Pliev, “A Stinespring type representation for operators in Hilbert modules over local $C^\star$-algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 12, 51–58; Russian Math. (Iz. VUZ), 56:12 (2012), 43

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 12, Pages 51–58 (Mi ivm8758)

This article is cited in 9 scientific papers (total in 9 papers)

A Stinespring type representation for operators in Hilbert modules over local

C^{⋆}

$C^\star$ -algebras

I. N. Maliev^a, M. A. Pliev^b

^a Chair of Theoretical and Mathematical Physics, North Osetian State University, Vladikavkaz, Russia
^b Southern Mathematical Institute of Russian Academy of Sciences, Vladikavkaz, Russia

Full-text PDF (194 kB) Citations (9)

References:

PDF

HTML

Abstract: We prove an analog of the Stinespring theorem for Hilbert modules over local

C^{⋆}

$C^\star$ -algebras.

Keywords: Hilbert modules, local

C^{⋆}

$C^\star$ -algebras, local Hilbert spaces,

(⋆)

$(\star)$ -homomorphisms, completely positive maps.

Received: 03.11.2011

English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 12, Pages 43–49
DOI: https://doi.org/10.3103/S1066369X12120055

Bibliographic databases:

Document Type: Article

UDC: 517.982+519.46

Language: Russian

Citation: I. N. Maliev, M. A. Pliev, “A Stinespring type representation for operators in Hilbert modules over local

C^{⋆}

$C^\star$ -algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 12, 51–58; Russian Math. (Iz. VUZ), 56:12 (2012), 43–49

Citation in format AMSBIB

\Bibitem{MalPli12}

\by I.~N.~Maliev, M.~A.~Pliev

\paper A Stinespring type representation for operators in Hilbert modules over local $C^\star$-algebras

\jour Izv. Vyssh. Uchebn. Zaved. Mat.

\yr 2012

\issue 12

\pages 51--58

\mathnet{http://mi.mathnet.ru/ivm8758}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137109}

\transl

\jour Russian Math. (Iz. VUZ)

\yr 2012

\vol 56

\issue 12

\pages 43--49

\crossref{https://doi.org/10.3103/S1066369X12120055}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872222858}

Linking options:

https://www.mathnet.ru/eng/ivm8758

https://www.mathnet.ru/eng/ivm/y2012/i12/p51

This publication is cited in the following 9 articles:

Bhumi Amin, Ramesh Golla, “Completely positive maps: pro- $C^*$ -algebras and Hilbert modules over pro- $C^*$ -algebras”, Positivity, 28:5 (2024)
Bhat B.V.R., Ghatak A., Pamula S.K., “Stinespring'S Theorem For Unbounded Operator Valued Local Completely Positive Maps and Its Applications”, Indag. Math.-New Ser., 32:2 (2021), 547–578
Joita M., “Unbounded Local Completely Positive Maps of Local Order Zero”, Positivity, 25:3 (2021), 1215–1227
A. V. Kalinichenko, M. A. Pliev, “The triangle equality in Hilbert $A$ -modules”, Russian Math. (Iz. VUZ), 63:10 (2019), 33–39
Ya. V. Elsaev, “O dilatatsii odnogo klassa vpolne polozhitelnykh otobrazhenii”, Vestnik rossiiskikh universitetov. Matematika, 24:127 (2019), 333–339
A. V. Kalinichenko, I. N. Maliev, M. A. Pliev, “Modular sesquilinear forms and generalized Stinspring representation”, Russian Math. (Iz. VUZ), 62:12 (2018), 42–49
M. S. Moslehian, A. Kusraev, M. Pliev, “Matrix KSGNS construction and a Radon-Nikodym type theorem”, Indag. Math.-New Ser., 28:5 (2017), 938–952
Kh. Karimi, K. Sharifi, “Completely positive maps on Hilbert modules over pro- $C^*$ -algebras”, Bull. Math. Soc. Sci. Math. Roum., 60:2 (2017), 181–193
M. A. Pliev, I. D. Tsopanov, “On representation of Stinespring's type for $n$ -tuple completely positive maps in Hilbert $C^\star$ -modules”, Russian Math. (Iz. VUZ), 58:11 (2014), 36–42

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия высших учебных заведений. Математика

Russian Mathematics (Izvestiya VUZ. Matematika)

Statistics & downloads:
Abstract page:	215
Full-text PDF :	54
References:	50
First page:	4

Что такое QR-код?

Registration to the website

Logotypes