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Tensor products and $$\Lambda_ 0$$-nuclear spaces in $$p$$-adic analysis. (English) Zbl 0836.46074
Summary: The $$\Lambda_0$$-nuclearity of the topological tensor product of two $$\Lambda_0$$-nuclear spaces is studied. This problem is related to the question of whether the operator $$T_1 \otimes T_2$$ is $$\Lambda_0$$-nuclear when $$T_1$$ and $$T_2$$ are $$\Lambda_0$$-nuclear.
##### MSC:
 46S10 Functional analysis over fields other than $$\mathbb{R}$$ or $$\mathbb{C}$$ or the quaternions; non-Archimedean functional analysis 46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) 47A80 Tensor products of linear operators 46A32 Spaces of linear operators; topological tensor products; approximation properties
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