Geodesic
Properties of Topological Measures on Classes of Subspaces of an Inner Product Space
Informatics and Automation, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 245-252

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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. 
@article{TRSPY_2021_313_a19,
     author = {V. I. Sukharev and E. A. Turilova},
     title = {Properties of {Topological} {Measures} on {Classes} of {Subspaces} of an {Inner} {Product} {Space}},
     journal = {Informatics and Automation},
     pages = {245--252},
     publisher = {mathdoc},
     volume = {313},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2021_313_a19/}
}
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V. I. Sukharev; E. A. Turilova. Properties of Topological Measures on Classes of Subspaces of an Inner Product Space. Informatics and Automation, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 245-252. http://geodesic.mathdoc.fr/item/TRSPY_2021_313_a19/