Simultaneous Upper Triangular Forms for Commuting Operators in a Finite von Neumann Algebra

DOI10.4153/S0008414X19000282WikidataQ114573391 ScholiaQ114573391MaRDI QIDQ5121882

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

Publication date: 22 September 2020

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.05695

zbMATH Keywords

finite von Neumann algebraholomorphic functional calculusinvariant projectionjoint spectral distribution measure

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Linear operators in (C^*)- or von Neumann algebras (47C15)

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Angles between Haagerup-Schultz projections and spectrality of operators ⋮ The free field: realization via unbounded operators and Atiyah property

Cites Work

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• Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras
• On reduction theory and Brown measure for closed unbounded operators
• A decomposition theorem in \(\mathrm{II}_{1}\)-factors
• Invariant subspaces for operators in a general \(\text{II}_{1}\)-factor
• The analytic-functional calculus in commutative topological algebras
• An upper triangular decomposition theorem for some unbounded operators affiliated to \(\mathrm{II}_{1}\)-factors
• Generalized s-numbers of \(\tau\)-measurable operators
• Brown measures of sets of commuting operators in a type II\(_{1}\) factor
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Le calcul symbolique dans les algèbres commutatives
• On the Taylor functional calculus
• Brown measures of unbounded operators affiliated with a finite von Neumann algebra
• Uniqueness of Taylor's Functional Calculus
• On joint spectra
• The $C^*$-algebra generated by two projections.

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