scientific article; zbMATH DE number 3227448
From MaRDI portal
Publication:5515745
zbMath0141.12902MaRDI QIDQ5515745
Publication date: 1966
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Related Items
Weyl's laws and Connes' integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials, Best approximations in a class of Lorentz ideals, The Hochschild class of the Chern character for semifinite spectral triples, Dixmier traces and non-commutative analysis, Universal measurability and the Hochschild class of the Chern character, Gravity, non-commutative geometry and the Wodzicki residue, Noncommutative instantons from twisted conformal symmetries, Connes-Dixmier traces, singular symmetric functionals, and the notion of Connes measurable element, Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics, The action functional in non-commutative geometry, Poids et espérances conditionnelles dans les algèbres de von Neumann, Hamilton formalism in non-commutative geometry, Principal measures and spectral shift measures associated with Dixmier traces, Spontaneous symmetry breaking and geometry from the spectral viewpoint, The existence of singular traces on simply generated operator ideals, Dixmier traces and residues on weak operator ideals, The geometry of (non-abelian) Landau levels, Spectral triples and manifolds with boundary, Generalized limits with additional invariance properties and their applications to noncommutative geometry, Dixmier traces for discrete pseudo-differential operators, Banach limits and traces on \(\mathcal{L}_{1, \infty}\), Dixmier traces, Cesàro means and logarithms, Lidskii-type formulae for Dixmier traces, Measurability, spectral densities, and hypertraces in noncommutative geometry, Invariant Banach limits and applications to noncommutative geometry, 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, Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces, Weyl's law and Connes' trace theorem for noncommutative two tori, The Berger-Coburn phenomenon for Hankel operators on the Fock space, Fuglede commutations modulo Lorentz ideals, \(\zeta \)-function and heat kernel formulae, Measurable operators and the asymptotics of heat kernels and zeta functions, The allure of infinitesimals: Sergio Albeverio and nonstandard analysis, Nuclearity and Grothendieck-Lidskii formula for quaternionic operators, Trace theorem for quasi-Fuchsian groups, Non-commutative residues for anisotropic pseudo-differential operators in \(\mathbb R^n\), Dimensions and singular traces for spectral triples, with applications to fractals, Spectral metric spaces for Gibbs measures, Integration on locally compact noncommutative spaces, Perturbation formulas for traces on normed ideals, Dixmier measurability in Marcinkiewicz spaces and applications, Connes-Dixmier versus Dixmier traces, Which traces are spectral?, The Haagerup problem on subadditive weights on \(W^\ast\)-algebras. II, Geometry of Banach limits and their applications, Advances in Dixmier traces and applications, Spectral triple and Sinai-Ruelle-Bowen measures, Connes’s trace theorem for curved noncommutative tori: Application to scalar curvature, Noncommutative residue for Heisenberg manifolds. Applications in CR and contact geometry, Traces of Hilbert space operators and their recent history, Connes integration formula for the noncommutative plane, Noncommutative geometry and lower dimensional volumes in Riemannian geometry, Particle models and noncommutative geometry, Dixmier trace, Fredholm modules and Riemannian geometry, Derivations and Dirichlet forms on fractals, A Lidskii type formula for Dixmier traces, Dixmier traces as singular symmetric functionals and applications to measurable operators, A spectral triple for a solenoid based on the Sierpinski gasket, Measures from Dixmier traces and zeta functions, The Dixmier trace and asymptotics of zeta functions, Dixmier traces are weak dense in the set of all fully symmetric traces, Dixmier traces and extrapolation description of noncommutative Lorentz spaces, A direct approach to positive normalised traces on simply generated ideals, Traces on operator ideals and related linear forms on sequence ideals. III, Dixmier traces generated by exponentiation invariant generalised limits, Noncommutative residues and a characterisation of the noncommutative integral, Traces and residues of pseudo-differential operators on the torus, Toeplitz operators associated with measures and the Dixmier trace on the Hardy space, Pseudodifferential calculus on noncommutative tori, II. Main properties, Spectral geometries on a compact metric space, Applications of Connes' geodesic flow to trace formulas in noncommutative geometry, On a property of \(L_p\) spaces on semifinite von Neumann algebras, Commutator structure of operator ideals, On the distinction between the classes of Dixmier and Connes-Dixmier traces, On simplicity of Lie algebras of compact operators: a direct approach, Independent sequences, monotonicity of Banach limits and applications to noncommutative geometry, A last theorem of Kalton and finiteness of Connes' integral, Estimating Dixmier traces of Hankel operators in Lorentz ideals, Traces of Commutators of Integral Operators – the Aftermath, Singular symmetric functionals and stabilizing subspaces of Marcinkiewicz spaces, Generalized limits and related asymptotic formulas, The main classes of invariant Banach limits, Unnamed Item, Trotter-Kato product formula and symmetrically normed ideals, Type II non-commutative geometry. I: Dixmier trace in von Neumann algebras, The Dixmier Trace and the Noncommutative Residue for Multipliers on Compact Manifolds, On noncommutative and pseudo-Riemannian geometry, Operators on spaces of analytic functions belonging to \({\mathcal L}^{(1,\infty)}\), Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori, Spectral flow and Dixmier traces, Conformal Markov systems, Patterson-Sullivan measure on limit sets and spectral triples, Singular traces and perturbation formulae of higher order, Connes' noncommutative differential geometry and the standard model
