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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The purpose of this paper is to prove that a completely positive projection on a Hilbert space associated with a standard form of a von Neumann algebra induces the existence of a conditional expectation of the von Neumann algebra with respect to a normal state, and we consider the application to a standard form of an injective von Neumann algebra.
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We suggest a explicit viscosity iterative algorithm for nding a common elementof the set of common xed points for W-mappings which solves somevariational inequality. Also, we prove a strong convergence theorem with somecontrol conditions. Finally, we apply our results to solve the equilibrium problems.Finally, examples and numerical results are also given.
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We present the most general definition of the linking of sets in a Hilbert space and, drawing on the theory given in [ST, T, Sc3], give a necessary and sufficient geometric condition for linking when one set is compact.
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1970
ISSN: 0040-8735
DOI: 10.2748/tmj/1178242810