On isomorphisms and hyper‐reflexivity of closed subspace lattices
Han Deguang · International Journal of Mathematics and Mathematical Sciences · 1991
There are some papers, such as [1], [2] and [3], in which some properties on isomorphism of closed subspace lattices of Hilbert spaces were studied. In this short paper we will point out that the hyper‐reflexivity of closed subspace lattice is invariant under isomorphism of ξ(H1) on ξ(H2). We also proved that if T is in L(H) such that and ℱ is a hyper‐reflexive subspace lattice, then ϕT(ℱ) ∪ {H} is hyper‐reflexive where ϕT is a homomorphism induced by T.