Dixmier measurability in Marcinkiewicz spaces and applications

DOI10.1016/j.jfa.2013.08.014zbMath1295.46055OpenAlexW2070187309MaRDI QIDQ2440950

Alexander A. Sedaev, Pheodor A. Sukochev

Publication date: 21 March 2014

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2013.08.014

zbMATH Keywords

Dixmier tracesMarcinkiewicz operator ideals

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative measure and integration (46L51) Pseudodifferential and Fourier integral operators on manifolds (58J40) Noncommutative function spaces (46L52)

Related Items (13)

Dixmier traces and non-commutative analysis ⋮ Fubini theorem in noncommutative geometry ⋮ Dixmier traces and residues on weak operator ideals ⋮ Constructing KMS states from infinite-dimensional spectral triples ⋮ A new view at Dixmier traces on \(\mathfrak{L}_{1,\infty} (H)\) ⋮ Connes' integration and Weyl's laws ⋮ Measurable operators and the asymptotics of heat kernels and zeta functions ⋮ Geometry of Banach limits and their applications ⋮ Advances in Dixmier traces and applications ⋮ Traces of Hilbert space operators and their recent history ⋮ Catalysis in the trace class and weak trace class ideals ⋮ Independent sequences, monotonicity of Banach limits and applications to noncommutative geometry ⋮ A Dixmier trace formula for the density of states

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