A remark on differentiable mappings.

A Remark on Absolutely Summing Multilinear Mappings *

In this note we obtain new coincidence theorems for absolutely summing multilinear mappings between Banach spaces. We also prove that our results, in general, can not be improved.

On distribution functions of the derivatives of weakly differentiable mappings

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem

The Convenient Setting for Non-quasianalytic Denjoy–carleman Differentiable Mappings

For Denjoy–Carleman differential function classes C where the weight sequence M = (Mk) is logarithmically convex, stable under derivations, and non-quasianalytic of moderate growth, we prove the following: A mapping is C if it maps C -curves to C -curves. The category of C -mappings is cartesian closed in the sense that C (E, C (F, G)) = C (E × F, G) for convenient vector spaces. Applications t...

The Convenient Setting for Quasianalytic Denjoy–carleman Differentiable Mappings

For quasianalytic Denjoy–Carleman differentiable function classes C where the weight sequence Q = (Qk) is log-convex, stable under derivations, of moderate growth and also an L-intersection (see (1.6)), we prove the following: The category of C-mappings is cartesian closed in the sense that C(E,C(F,G)) ∼= C(E × F,G) for convenient vector spaces. Applications to manifolds of mappings are given: ...