On reduction theory and Brown measure for closed unbounded operators

DOI10.1016/j.jfa.2016.09.015zbMath1358.47026arXiv1509.03362OpenAlexW2963786666MaRDI QIDQ329620

Kenneth J. Dykema, Dmitriy Zanin, Pheodor A. Sukochev, Joseph Noles

Publication date: 21 October 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03362

zbMATH Keywords

Brown measuredirect integral

Mathematics Subject Classification ID

Linear operators in (C^*)- or von Neumann algebras (47C15) Individual linear operators as elements of algebraic systems (47C99)

Related Items

Direct integrals of strongly continuous operator semigroups, An upper triangular decomposition theorem for some unbounded operators affiliated to \(\mathrm{II}_{1}\)-factors, \(\ell^2\)-Betti numbers of random rooted simplicial complexes, Simultaneous Upper Triangular Forms for Commuting Operators in a Finite von Neumann Algebra, Beurling-Fourier algebras on Lie groups and their spectra, \(L^p-L^q\) multipliers on locally compact groups, Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A decomposition theorem in \(\mathrm{II}_{1}\)-factors
• An upper triangular decomposition theorem for some unbounded operators affiliated to \(\mathrm{II}_{1}\)-factors
• On a question of A. E. Nussbaum on measurability of families of closed linear operators in a Hilbert space
• Direct integral decomposition of spectral operators
• Reduction theory for unbounded closed operators in Hilbert space
• Determinant theory in finite factors
• Brown measures of unbounded operators affiliated with a finite von Neumann algebra
• Spectrum and Direct Integral