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Narrow operators on function spaces and vector lattices.


Narrow operators on function spaces and vector lattices.

Popov, Mikhail and Beata Randrianantoanina.

De Gruyter


319 pages



De Gruyter studies in mathematics; 45


Popov (Chernivtsi National U., Ukraine) and Randrianantoanina (both Miami U., Ohio, US) look at operators defined on function spaces that are small as signs, that is, at {-1, 0, 1}-valued functions. The investigation of such narrow operators has led to interesting problems that can be applied to geometric functional analysis, operator theory, and vector lattices, they say. These narrow operators are not to be confused with the ones introduced by V. Kadets, Shvidkoy, and Werner, they warn, which are very different. Among their topics are applications to nonlocally convex spaces, noncompact narrow operators, strict singularity versus narrowness, weak embeddings of L1, and narrow operators on vector lattices.

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Publication:Reference & Research Book News
Article Type:Book review
Date:Feb 1, 2013
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