Relative Weak Convergence in Semifinite von Neumann Algebras

DOI10.2307/2043815zbMath0478.46051OpenAlexW4236279824MaRDI QIDQ3935705

Victor Kaftal

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043815

zbMATH Keywords

von Neumann algebraFredholm operatorcompact operatorCalkin algebrasemifinite von Neumann algebraalmost left-Fredholm operatorsgeneralized Hilbert conditionrelative weak convergenceWolf theorem

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) (Semi-) Fredholm operators; index theories (47A53) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (8)

Compact operators in type \(III_{\lambda}\) and type \(III_ 0\) factors. I ⋮ Topological and bornological characterisations of ideals in von Neumann algebras. II ⋮ Applications of the minimum modulus function in operator algebras ⋮ Almost Fredholm operators in von Neumann algebras ⋮ The relative \(L^2\) index theorem for Galois coverings ⋮ Real ideals of compact operators of complex factors ⋮ Compact derivations relative to semifinite von Neumann algebras ⋮ Compact operators in type III\(_{\lambda}\) and type III\(_0\) factors

Cites Work

• Almost Fredholm operators in von Neumann algebras
• Fredholm theories in von Neumann algebras. I
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
• ON A CLASS OF OPERATORS IN VON NEUMANN ALGEBRAS WITH SEGAL MEASURE ON THE PROJECTORS
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