scholarly journals Tensor products of unbounded operator algebras

2014 ◽  
Vol 44 (3) ◽  
pp. 895-912 ◽  
Author(s):  
M. Fragoulopoulou ◽  
A. Inoue ◽  
M. Weigt
Keyword(s):  
Unbounded Operator ◽  
Operator Algebras ◽  
Tensor Products

V*‐algebras: A particular class of unbounded operator algebras

1984 ◽  
Vol 25 (9) ◽  
pp. 2633-2637 ◽  
Author(s):  
Giuseppina Epifanio ◽  
Camillo Trapani
Keyword(s):  
Unbounded Operator ◽  
Operator Algebras

Unbounded operator algebras

2021 ◽  
Vol 12 (2) ◽  
Author(s):  
Mohammad B. Asadi ◽  
Z. Hassanpour-Yakhdani ◽  
S. Shamloo
Keyword(s):  
Unbounded Operator ◽  
Operator Algebras

scholarly journals Bicommutants of reduced unbounded operator algebras

2009 ◽  
Vol 137 (11) ◽  
pp. 3709-3709 ◽  
Author(s):  
Fabio Bagarello ◽  
Atsushi Inoue ◽  
Camillo Trapani
Keyword(s):  
Unbounded Operator ◽  
Operator Algebras

scholarly journals Tensor products of operator algebras

1977 ◽  
Vol 25 (1) ◽  
pp. 1-34 ◽  
Author(s):  
Edward G Effros ◽  
E.Christopher Lance
Keyword(s):  
Operator Algebras ◽  
Tensor Products

Tensor products which do not preserve operator algebras

1990 ◽  
Vol 108 (2) ◽  
pp. 395-403 ◽  
Author(s):  
David P. Blecher
Keyword(s):  
Hilbert Space ◽  
Tensor Product ◽  
Operator Algebras ◽  
Tensor Products ◽  
Preserve Operator ◽  
Infinite Dimensional ◽  
Hilbert Space Operators ◽  
Algebra Of Operators

Of late the link between operator algebras and certain tensor products has been reiterated [5]. We prove here that the projective and Haagerup tensor products of two infinite-dimensional C*-algebras is not even topologically isomorphic to an algebra of operators on a Hilbert space. Estimates are given for the distance of the tensor product from such an algebra. Nonetheless with respect to a natural multiplication the Haagerup tensor product of two algebras of Hilbert space operators is completely isometrically isomorphic to an algebra of operators on some B(ℋ).

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