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Tensor products and Λ 0 -nuclear spaces in p-adic analysis. (English) Zbl 0836.46074
Summary: The Λ 0 -nuclearity of the topological tensor product of two Λ 0 -nuclear spaces is studied. This problem is related to the question of whether the operator T 1 T 2 is Λ 0 -nuclear when T 1 and T 2 are Λ 0 -nuclear.
MSC:
46S10Functional analysis over fields (not , , or quaternions)
46A11Spaces determined by compactness or summability properties
47A80Tensor products of operators
46A32Spaces of linear operators; topological tensor products; approximation properties