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Equivalence of norms on operator space tensor products of |
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| Authors: | Ajay Kumar Allan M. Sinclair |
| Affiliation: | Department of Mathematics, Rajdhani College (University of Delhi), Raja Garden, New Delhi-110015, India Allan M. Sinclair ; Department of Mathematics and Statistics, University of Edinburgh, James Clerk Maxwell Building, King's Buildings, Mayfield Road, Edinburgh EH9 3JZ, Scotland |
| Abstract: | The Haagerup norm  on the tensor product  of two  -algebras  and  is shown to be Banach space equivalent to either the Banach space projective norm  or the operator space projective norm  if and only if either  or  is finite dimensional or  and  are infinite dimensional and subhomogeneous. The Banach space projective norm and the operator space projective norm are equivalent on  if and only if  or  is subhomogeneous. |
| Keywords: | Banach space projective norm operator space projective norm Haagerup norm $C^*$-algebras second dual |
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