46 citations · 65 across the 12 of their papers we have counts for
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Examples of differentiable mappings into non-locally convex spaces
Helge Glockner
Examples of differentiable mappings into real or complex topological vector spaces with specific properties are given, which illustrate the differences between differential calculu…
Tensor products in the category of topological vector spaces are not associative
Helge Glockner
We show by example that the associative law does not hold for tensor products in the category of general (not necessarily locally convex) topological vector spaces. The same pathol…
Implicit Functions from Topological Vector Spaces to Banach Spaces
Helge Glockner
We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings f…
Differential Calculus, Manifolds and Lie Groups over Arbitrary Infinite Fields
Wolfgang Bertram, Helge Glockner, Karl-Hermann Neeb
We present an axiomatic approach to finite- and infinite-dimensional differential calculus over arbitrary infinite fields (and, more generally, suitable rings). The corresponding b…