Commutativity of Unbounded Representations

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

scholarly journals Unbounded *-representations of tensor product locally convex *-algebras induced by unbounded C*-seminorms

2007 ◽  
Vol 183 (3) ◽  
pp. 259-271 ◽  
Author(s):  
M. Fragoulopoulou ◽  
A. Inoue
Keyword(s):  
Tensor Product ◽  
Locally Convex Algebras ◽  
Unbounded Representations ◽  
Locally Convex

scholarly journals A note on commutativity of unbounded representations

1993 ◽  
Vol 118 (2) ◽  
pp. 489-489
Author(s):  
Sch{ōichi {Ōta
Keyword(s):  
Unbounded Representations

scholarly journals Unbounded representations of ∗-algebras

1977 ◽  
Vol 70 (2) ◽  
pp. 369-382 ◽  
Author(s):  
Stanley Gudder ◽  
W. Scruggs
Keyword(s):  
Representations Of Algebras ◽  
Unbounded Representations

n-Positivity of Unbounded *-Representations

1989 ◽  
Vol 141 (1) ◽  
pp. 233-250 ◽  
Author(s):  
Jürgen Friedrich ◽  
Konrad Schmüdgen
Keyword(s):  
Unbounded Representations

Unitary equivalence of unbounded *-representations of *-algebras

1997 ◽  
Vol 122 (2) ◽  
pp. 269-279
Author(s):  
I. IKEDA ◽  
A. INOUE ◽  
M. TAKAKURA
Keyword(s):  
Von Neumann Algebras ◽  
Unitary Equivalence ◽  
Density Condition ◽  
Von Neumann ◽  
Representations Of Algebras ◽  
Unbounded Representations

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.

scholarly journals Unbounded Representations of q-Deformation of Cuntz Algebra

2008 ◽  
Vol 85 (2-3) ◽  
pp. 147-162 ◽  
Author(s):  
Vasyl Ostrovskyi ◽  
Daniil Proskurin ◽  
Lyudmila Turowska
Keyword(s):  
Cuntz Algebra ◽  
Unbounded Representations

Extensions of Unbounded Representations

1992 ◽  
Vol 155 (1) ◽  
pp. 257-268 ◽  
Author(s):  
Atsushi Inoue ◽  
Hideki Kurose ◽  
Sch??ichi ??ta
Keyword(s):  
Unbounded Representations
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