An upper triangular decomposition theorem for some unbounded operators affiliated to \(\mathrm{II}_{1}\)-factors
From MaRDI portal
Publication:1686399
DOI10.1007/S11856-017-1603-YzbMath1497.47056arXiv1509.03358OpenAlexW2963880844MaRDI QIDQ1686399
Dmitriy Zanin, Kenneth J. Dykema, Pheodor A. Sukochev
Publication date: 22 December 2017
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.03358
Invariant subspaces of linear operators (47A15) Subfactors and their classification (46L37) Classifications of (C^*)-algebras (46L35) Linear operators in (C^*)- or von Neumann algebras (47C15)
Related Items (6)
On reduction theory and Brown measure for closed unbounded operators ⋮ Simultaneous Upper Triangular Forms for Commuting Operators in a Finite von Neumann Algebra ⋮ Algebras of log-integrable functions and operators ⋮ Logarithmic submajorisation and order-preserving linear isometries ⋮ Ring isomorphisms of \(\ast \)-subalgebras of Murray-von Neumann factors ⋮ Interpolation between \(L_0(\mathcal{M},\tau)\) and \(L_\infty (\mathcal{M},\tau )\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On reduction theory and Brown measure for closed unbounded operators
- Singular traces. Theory and applications
- Algebras of log-integrable functions and operators
- A decomposition theorem in \(\mathrm{II}_{1}\)-factors
- Invariant subspaces for operators in a general \(\text{II}_{1}\)-factor
- Sommes de commutateurs dans les algèbres de von Neumann finies continues
- Notes on non-commutative integration
- Sums of commutators in ideals and modules of type II factors.
- Generalized s-numbers of \(\tau\)-measurable operators
- Commutator structure of operator ideals
- Theory of operator algebras. II
- Notes on operator categories
- Which traces are spectral?
- Reduction theory for unbounded closed operators in Hilbert space
- Determinant theory in finite factors
- Noncommutative Kothe Duality
- Traces and Shift Invariant Functionals
- Brown measures of unbounded operators affiliated with a finite von Neumann algebra
- Operator Ideals with a Trace
- Spectral characterization of sums of commutators I
- Factoriality and Connes' invariant T(M) for free products of von Neumann algebras.
- INVARIANT SUBSPACES FOR SOME FAMILIES OF UNBOUNDED SUBNORMAL OPERATORS This work has been prepared while the second named author was a guest of the University of the Saarland as a Humboldt Fellow. He would like to express his gratitude to the Alexander von Humboldt-Foundation for its support and to the University of the Saarland for its hospitality.
- Banach embedding properties of non-commutative 𝐿^{𝑝}-spaces
- Rearrangement-Invariant Functionals with Applications to Traces on Symmetrically Normed Ideals
This page was built for publication: An upper triangular decomposition theorem for some unbounded operators affiliated to \(\mathrm{II}_{1}\)-factors
