International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 3, Pages 565-570
Some properties of prereflexive subspaces of operators
Department of Mathematics, University of Science and Technology of China, Hefei,, Anhui 230026, China
Received 31 May 1995; Revised 10 December 1995
Copyright © 1998 Jiankui Li. 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.
In the paper, we define a notion of prereflexivity for subspaces, give several
equivalent conditions of this notion and prove that if
is prereflexive, then every -weakly
closed subspace of is prereflexive if and only if
has the property WP(see definition
2.11). By our result, we construct a reflexive operator
is not prereflexive.