Manifolds of Hilbert space projections
نویسندگان
چکیده
منابع مشابه
Manifolds of Hilbert Space Projections
The Hardy space H(R) for the upper half plane together with a multiplicative group of unimodular functions u(λ) = exp(i(λ1ψ1 + · · · + λnψn)), λ ∈ R, gives rise to a manifold M of orthogonal projections for the subspaces u(λ)H(R) of L(R). For classes of admissible functions ψi the strong operator topology closures of M and M ∪M⊥ are determined explicitly as various n-balls and n-spheres. The ar...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2009
ISSN: 0024-6115
DOI: 10.1112/plms/pdp035