# zbMATH — the first resource for mathematics

Cones in tensor products of ordered Banach spaces. (Russian) Zbl 1051.46055
Properties of tensor cones in tensor products of Banach spaces with cones are studied. It is proved that the tensor product of two linear operators is an $$l$$-operator ($$bo$$-operator) if and only if both factors are $$l$$-operators ($$bo$$-operators, respectively).
##### MSC:
 46M05 Tensor products in functional analysis 46B28 Spaces of operators; tensor products; approximation properties 47L05 Linear spaces of operators
##### Keywords:
cross-norm; normal tensor cone; normed tensor product
Full Text: