Rearrangement-Invariant Functionals with Applications to Traces on Symmetrically Normed Ideals
From MaRDI portal
Publication:5453650
DOI10.4153/CMB-2008-009-3zbMath1144.46054MaRDI QIDQ5453650
Pheodor A. Sukochev, Nigel J. Kalton
Publication date: 3 April 2008
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Noncommutative function spaces (46L52)
Related Items (21)
Dixmier traces and non-commutative analysis ⋮ Hölder inequality for symmetric operator spaces and trace property of K-cycles ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ Generalized limits with additional invariance properties and their applications to noncommutative geometry ⋮ Banach limits and traces on \(\mathcal{L}_{1, \infty}\) ⋮ An upper triangular decomposition theorem for some unbounded operators affiliated to \(\mathrm{II}_{1}\)-factors ⋮ A new view at Dixmier traces on \(\mathfrak{L}_{1,\infty} (H)\) ⋮ Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces ⋮ \(\zeta \)-function and heat kernel formulae ⋮ Symmetric norms and spaces of operators ⋮ Dixmier measurability in Marcinkiewicz spaces and applications ⋮ Connes-Dixmier versus Dixmier traces ⋮ Which traces are spectral? ⋮ Advances in Dixmier traces and applications ⋮ A Unified Approach to Topological Invariants of Lorentz–Orlicz–Marcinkiewicz Spaces ⋮ Traces on operator ideals and related linear forms on sequence ideals. I ⋮ Dixmier traces are weak dense in the set of all fully symmetric traces ⋮ A direct approach to positive normalised traces on simply generated ideals ⋮ Orbits in symmetric spaces ⋮ Symmetric spaces of measurable functions: some new and old advances ⋮ Dixmier traces of operators on Banach and Hilbert spaces
This page was built for publication: Rearrangement-Invariant Functionals with Applications to Traces on Symmetrically Normed Ideals