unbounded representations
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2008 ◽  
Vol 85 (2-3) ◽  
pp. 147-162 ◽  
Author(s):  
Vasyl Ostrovskyi ◽  
Daniil Proskurin ◽  
Lyudmila Turowska






1997 ◽  
Vol 122 (2) ◽  
pp. 269-279
Author(s):  
I. IKEDA ◽  
A. INOUE ◽  
M. TAKAKURA

In this paper the unitary equivalence of unbounded *-representations of *-algebras is investigated. It is shown that if closed *-representations π1 and π2 of a *-algebra [Ascr ] satisfy a certain density condition for the intertwining spaces [Jscr ](π1, π2) and [Jscr ](π2, π1), then a *-isomorphism Φ between the O*-algebras π1([Ascr ]) and π2([Ascr ]) is defined by Φ(π1(x))=π2(x), x∈[Ascr ] and it induces a *-isomorphism Φ¯, between the von Neumann algebras (π1([Ascr ])′w)′ and (π2([Ascr ])′w)′, and further if Φ¯, is spatial (that is, it is unitarily implemented), then π1 and π2 are unitarily equivalent.



1993 ◽  
Vol 118 (2) ◽  
pp. 489
Author(s):  
Schoichi Ota


1993 ◽  
Vol 117 (4) ◽  
pp. 1051
Author(s):  
Schoichi Ota


1993 ◽  
Vol 117 (4) ◽  
pp. 1051-1051
Author(s):  
Sch{ōichi {Ōta




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