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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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