Some properties of prereflexive subspaces of operators

Jiankui Li

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-6

Abstract:

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.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:484086

DOI: 10.1155/S0161171298000787

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