Inclusions and coincidences for multiple Cohen positive strongly \(p\)-summing \(m\)-linear operators. (English) Zbl 1538.47006
Summary: We compare a new class of multiple Cohen positive strongly \(p\)-summing multilinear operators along with different classes of positive multilinear \(p\)-summability and investigate a duality relationship in terms of the tensor norm.
MSC:
47A07 | Forms (bilinear, sesquilinear, multilinear) |
46A20 | Duality theory for topological vector spaces |
46B42 | Banach lattices |
47B10 | Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) |
47B65 | Positive linear operators and order-bounded operators |
Keywords:
Banach lattice; multiple Cohen strongly summing operators; positive \(p\)-summing operators; positive strongly \(p\)-summing operators; tensor normReferences:
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