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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 313, Pages 245–252
DOI: https://doi.org/10.4213/tm4174 (Mi tm4174) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Properties of Topological Measures on Classes of Subspaces of an Inner Product Space

V. I. Sukharev, E. A. Turilova

Kazan Federal University, Kremlevskaya ul. 18, Kazan, 420008 Russia
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DOI: https://doi.org/10.4213/tm4174
Abstract: 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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1478
This work was performed in the framework of the development program of the Volga Region Scientific–Educational Centre of Mathematics (contract no. 075-02-2020-1478).
Received: September 10, 2020
Revised: October 23, 2020
Accepted: January 30, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 313, Pages 228–235
DOI: https://doi.org/10.1134/S0081543821020206
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. I. Sukharev, E. A. Turilova, “Properties of Topological Measures on Classes of Subspaces of an Inner Product Space”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 245–252; Proc. Steklov Inst. Math., 313 (2021), 228–235
Citation in format AMSBIB
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\by V.~I.~Sukharev, E.~A.~Turilova
\paper Properties of Topological Measures on Classes of Subspaces of an Inner Product Space
\inbook Mathematics of Quantum Technologies
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 313
\pages 245--252
\publ Steklov Math. Inst.
\publaddr Moscow
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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