Projections in Hilbert space, II
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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Using the bicomplex numbers T which is a commutative ring with zero divisors defined by T = {w0+w1i1+w2i2+ w3j | w0, w1, w2, w3 ∈ R} where i21 = −1, i22 = −1, j = 1, i1i2 = j = i2i1, we construct hyperbolic and bicomplex Hilbert spaces. Linear functionals and dual spaces are considered on these spaces and properties of linear operators are obtain; in particular it is established that the eigenv...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1971
ISSN: 0040-8735
DOI: 10.2748/tmj/1178242586