Some properties of prereflexive subspaces of operators
In the paper, we define a notion of prereflexivity for subspaces, give several equivalent conditions of this notion and prove that if S⫅L(H) is prereflexive, then every σ-weakly closed subspace of S is prereflexive if and only if S has the property WP(see definition 2.11). By our result, we constr...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000787 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In the paper, we define a notion of prereflexivity for subspaces, give several
equivalent conditions of this notion and prove that if S⫅L(H)
is prereflexive, then every σ-weakly
closed subspace of S is prereflexive if and only if S
has the property WP(see definition
2.11). By our result, we construct a reflexive operator A
such that A⊕0
is not prereflexive. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |