Connections of unbounded operators and some related topics: von Neumann algebra case
DOI10.1142/S0129167X21500245zbMath1477.46069arXiv2101.01176OpenAlexW3126788336MaRDI QIDQ4993857
Publication date: 11 June 2021
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.01176
von Neumann algebratraceoperator monotone functionLebesgue decompositiongeometric meanconnectionweightparallel sumstrong resolvent convergencepositive formgraph analysisform summodular automorphism groupRadon-Nikodym cocyclemeasure topologyclosable operatorpositive self-adjoint operatorKubo-Ando theoryrelative modular operatoroperator valued weightspatial derivativeConnes' spatial theory\( \tau \)-measurable operatorHaagerup \(L^p\)-spacegeneralized \(s\)-number\( \gamma \)-homogeneous operatorextended positive self-adjoint operatorHilsum \(L^p\)-space
Linear operator inequalities (47A63) General theory of von Neumann algebras (46L10) Noncommutative measure and integration (46L51) Operator means involving linear operators, shorted linear operators, etc. (47A64)
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Cites Work
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- Singular traces. Theory and applications
- Arithmetic-geometric mean and related submajorisation and norm inequalities for \(\tau\)-measurable operators. I
- Arithmetic-geometric mean and related submajorisation and norm inequalities for \(\tau\)-measurable operators. II
- On the continuity of the map \(\phi\) \(\to | \phi |\) from the predual of a \(W^*\)-algebra
- Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
- Majorization and Stochastic maps in von Neumann algebras
- Distance between unitary orbits in von Neumann algebras
- Operator valued weights in von Neumann algebras. II
- On the spatial theory of von Neumann algebras
- Unbounded operators: Perturbations and commutativity problems
- Les espaces \(L^ p\) d'une algebre de von Neumann definies par la derivee spatiale
- Concavity of certain maps on positive definite matrices and applications to Hadamard products
- Notes on non-commutative integration
- Normal weights on \(W^*\)-algebras
- Functional calculus for sesquilinear forms and the purification map
- Relative entropy for states of von Neumann algebras. II
- Means of positive linear operators
- A canonical decomposition for quadratic forms with applications to monotone convergence theorems
- Majorizations and inequalities in matrix theory
- Means of Hilbert space operators
- Perturbation theory for linear operators.
- Generalized s-numbers of \(\tau\)-measurable operators
- Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
- Theory of operator algebras. II
- Logarithmic submajorization, uniform majorization and Hölder type inequalities for \(\tau \)-measurable operators
- Reduction theory for unbounded closed operators in Hilbert space
- Series and parallel addition of matrices
- The Radon-Nikodym theorem for von Neumann algebras
- Determinant theory in finite factors
- Correction to A non-commutative extension of abstract integration
- Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
- L p Fourier Transforms on Locally Compact Unimodular Groups
- Integration Theorems For Gages and Duality for Unimodular Groups
- Lebesgue Decomposition of States on a Von Neumann Algebra
- Positive cones associated with a von Neumann algebra.
- Lower semicontinuhy of positive quadratic forms
- An Inequality of Araki-Lieb-Thirring (Von Neumann Algebra Case)
- Shorted Operators. II
- On Sums and Products of Unbounded Operators in Hilbert Space
- The standard form of von Neumann algebras.
- Non-commutative LP-spaces
- On the dual weights for crossed products of von Neumann algebras II.
- ABSOLUTE CONTINUITY FOR UNBOUNDED POSITIVE SELF-ADJOINT OPERATORS
- PARALLEL SUM OF UNBOUNDED POSITIVE OPERATORS
- Means for matrices and comparison of their norms
- Quantum f-Divergences in von Neumann Algebras
- Une classification des facteurs de type ${\rm III}$
- ON INTERSECTIONS OF DOMAINS OF UNBOUNDED POSITIVE OPERATORS
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
- Formes linéaires sur un anneau d'opérateurs
- Operator Theory
