Linear maps preserving G-unitary operators in Hilbert space

Let H be a complex Hilbert space and B(H) the algebra of all bounded linear operators on H. We give the concrete forms of surjective continuous unital linear maps from B(H) onto itself that preserve G-unitary operators.

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Bibliographische Detailangaben
Veröffentlicht in:	Arab journal of mathematical sciences 2015-01, Vol.21 (1), p.109-117
Hauptverfasser:	Chahbi, Abdellatif, Kabbaj, Samir
Format:	Artikel
Sprache:	eng
Schlagworte:	15A04 16W20 47B50 Jordan homomorphisms Linear preserver Operators on spaces with an indefinite metric Primary 15A86 Secondary 47L30 Unitary operators
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Beschreibung
Zusammenfassung:	Let H be a complex Hilbert space and B(H) the algebra of all bounded linear operators on H. We give the concrete forms of surjective continuous unital linear maps from B(H) onto itself that preserve G-unitary operators.
ISSN:	1319-5166
DOI:	10.1016/j.ajmsc.2014.03.002