A Characterization and Sum Decomposition for Operator Ideals

DOI10.2307/1997982zbMath0414.47017OpenAlexW4230468481MaRDI QIDQ3049373

Gary Weiss, Andreas Blass

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1997982

zbMATH Keywords

continuum hypothesiscompact operatorsaxiom of choiceoperator idealsCalkin ideal sets

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Continuum hypothesis and Martin's axiom (03E50) General theory of topological algebras with involution (46K05) Axiom of choice and related propositions (03E25)

Related Items (8)

On the Structure of Principal Ideals of Operators ⋮ Function spaces with extremal properties ⋮ There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed ⋮ Classification of certain commutator ideals and the tensor product closure property ⋮ Composants of the Stone-Čech remainder of the reals ⋮ What makes the continuum ℵ₂ ⋮ Exactly two and exactly three near-coherence classes ⋮ Sums and intersections of symmetric operator spaces

Cites Work

• Unnamed Item
• A model of set-theory in which every set of reals is Lebesgue measurable
• Ideals of compact operators on Hilbert space
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
• Symmetric Norm Ideals and Relative Conjugate Ideals
• Some points in βN
• Internal cohen extensions
• Ultrafilters and Independent Sets

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