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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 8, Pages 34–39 (Mi ivm7863)  
Continuity of ring homomorphisms for local $C^\star$-algebras

I. N. Malieva, M. A. Plievb

a North Osetian State University, Vladikavkaz, Russia
b Southern Mathematical Institute of Russian Academy of Sciences, Vladikavkaz, Russia
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Abstract: We show that a ring homomorphism from a local $\sigma-C^\star$-algebra to a local $C^\star$-algebra is a continuous mapping.
Keywords: local $C^\star$-algebras, homomorphisms, positive operators.
Received: 28.04.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 8, Pages 28–32
DOI: https://doi.org/10.3103/S1066369X11080056
Bibliographic databases:
Document Type: Article
UDC: 517.98+519.46
Language: Russian
Citation: I. N. Maliev, M. A. Pliev, “Continuity of ring homomorphisms for local $C^\star$-algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8, 34–39; Russian Math. (Iz. VUZ), 55:8 (2011), 28–32
Citation in format AMSBIB
\Bibitem{MalPli11}
\by I.~N.~Maliev, M.~A.~Pliev
\paper Continuity of ring homomorphisms for local $C^\star$-algebras
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 8
\pages 34--39
\mathnet{http://mi.mathnet.ru/ivm7863}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2919345}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 8
\pages 28--32
\crossref{https://doi.org/10.3103/S1066369X11080056}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051696049}
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