Geodesic
Properties of Topological Measures on Classes of Subspaces of an Inner Product Space
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 245-252 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study topological measures on classes of subspaces of an inner product space. The existence of topological measures is discussed, and their relation to measures on orthoprojections from $\mathcal {B}(H)^{\mathrm{pr}}$ is considered, where $H$ is the completion of the inner product space in question. We also find properties of topological measures defined on classes of splitting and (co)complete subspaces of an inner product space. 
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     author = {V. I. Sukharev and E. A. Turilova},
     title = {Properties of {Topological} {Measures} on {Classes} of {Subspaces} of an {Inner} {Product} {Space}},
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V. I. Sukharev; E. A. Turilova. Properties of Topological Measures on Classes of Subspaces of an Inner Product Space. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 245-252. http://geodesic.mathdoc.fr/item/TM_2021_313_a19/

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