On the existence of quasicentral approximate units relative to normed ideals. I (Q1813252)
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scientific article; zbMATH DE number 5876
| Language | Label | Description | Also known as |
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| English | On the existence of quasicentral approximate units relative to normed ideals. I |
scientific article; zbMATH DE number 5876 |
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On the existence of quasicentral approximate units relative to normed ideals. I (English)
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25 June 1992
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This paper is a continuation of previous papers of the author on the subject ``Norm-ideal perturbations of Hilbert space operators'' [cf. J. Oper. Theory 2, 3-37 (1979; Zbl 0446.47003) and ibid. 5, 77-100 (1981; Zbl 0483.46036)]. It contains various general results on the existence of quasi-central approximate units (relation to commutators, unbounded Fredholm modules, filtrations, maximality of the Macaev ideal, etc.) as well as some results for specific examples (non-commutative tori, certain discrete groups, etc.).
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non-commutative tori
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quasi-central approximate units
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commutators
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unbounded Fredholm modules
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filtrations
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maximality of the Macaev ideal
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