International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 2, Pages 401-403
doi:10.1155/S0161171294000554
A remark on the slice map problem
Muneo Chō1
and Tadasi Huruya2
1Department of Mathematics, Joetsu University of Education, Joetsu 943, Japan
2Faculty of Education, Niigata University, Niigata 950-21, Japan
Abstract
It is shown that there exist a σ-weakly closed operator algebra A˜, generated by finite rank operators and a σ-weakly closed operator algebra B˜ generated by compact operators such that the Fubini product A˜⊗¯FB˜ contains properly A˜⊗¯B˜.