International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 4, Pages 653-658
-representable operators in Banach spaces
Department of Mathematics, The University of Michigan, Ann Arbor 48109, Michigan, USA
Received 7 November 1985
Copyright © 1986 Roshdi Khalil. 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.
Let and be Banach spaces. An operator is called -representable if there exists a finite measure on the unit ball, , of and a function , , such thatfor all . The object of this paper is to investigate the class of all -representable operators. In particular, it is shown that -representable operators form a Banach ideal which is stable under injective tensor product. A characterization via factorization through -spaces is given.