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Coherence and compatibility: a stronger approach. (English) Zbl 1489.47105

The authors introduce the new definitions of coherence and compatibility of classes of multilinear mappings and homogeneous polynomials making a comparative study with the approach presented in [D. Pellegrino and J. Ribeiro, Monatsh. Math. 173, No. 3, 379–415 (2014; Zbl 1297.46034)]. By means of a series of examples, the authors show that some well-known classes satisfy these new concepts.

MSC:

47L22 Ideals of polynomials and of multilinear mappings in operator theory
46G25 (Spaces of) multilinear mappings, polynomials
47L20 Operator ideals
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)

Citations:

Zbl 1297.46034
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References:

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