Properties of topological measures on classes of subspaces of an inner product space

DOI10.1134/S0081543821020206zbMath1480.46059MaRDI QIDQ2041562

V. I. Sukharev, Ekaterina Turilova

Publication date: 23 July 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (1)

A criterion for topological sum existence in class of splitting subspaces of inner product spaces

Cites Work

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• Measures on classes of subspaces affiliated with a von Neumann algebra
• Regular measures and inner product spaces
• On the definition of Hilbert space
• A Completeness Criterion for Inner Product Spaces
• Inner Product Spaces
• A remark on Piron's paper
• Quantum measure theory

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