Algebras of log-integrable functions and operators

DOI10.1007/s11785-016-0569-9zbMath1373.46059arXiv1509.03360OpenAlexW2963102431MaRDI QIDQ520148

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

Publication date: 3 April 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03360

zbMATH Keywords

Nevanlinna classmeasurable operatorscomplete \(^*\)-algebraslog-integrable functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Noncommutative function spaces (46L52) Topological algebras of operators (46H35) Nevanlinna spaces and Smirnov spaces (30H15)

Related Items (10)

Trotter–Kato product formula in symmetric F-normed ideals ⋮ An upper triangular decomposition theorem for some unbounded operators affiliated to \(\mathrm{II}_{1}\)-factors ⋮ Noncommutative Mulholland inequalities associated with factors and their applications ⋮ Ring derivations of Murray-von Neumann algebras ⋮ Non-existence of translation-invariant derivations on algebras of measurable functions ⋮ Logarithmic submajorisation and order-preserving linear isometries ⋮ Derivations with Values in an Ideal F-spaces of Measurable Functions ⋮ Isometries of spaces of log-integrable functions ⋮ Ring isomorphisms of \(\ast \)-subalgebras of Murray-von Neumann factors ⋮ Derivations of Murray-von Neumann algebras

Cites Work

• Notes on non-commutative integration
• An upper triangular decomposition theorem for some unbounded operators affiliated to \(\mathrm{II}_{1}\)-factors
• Generalized s-numbers of \(\tau\)-measurable operators
• Determinant theory in finite factors
• Noncommutative Kothe Duality
• Brown measures of unbounded operators affiliated with a finite von Neumann algebra
• Unusual Topological Properties of the Nevanlinna Class
• A note on the theory of s-normed spaces of φ-integrable functions
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