International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 2, Pages 401-404
Research notes

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

Received 30 December 1992; Revised 4 April 1993

Copyright © 1994 Muneo Chō and Tadasi Huruya. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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˜.