Vanderputten, L
We prove a nonstandard density result. It asserts that if a particular formula is true for functions in a set K of linear continuous functions between Banach spaces E and D, then it remains valid for functions that are limits, in the uniform convergence topology on a given class M of subsets of E, of nets of vectors in K. We then apply this result to various class M and sets K in the context of E-valued Bochner integrable functions defined on a finite measure space.
Bibliographic reference |
Vanderputten, L. A nonstandard density theorem for weak topologies on Banach and Bochner spaces. In: Mathematical Logic Quarterly, Vol. 49, no. 3, p. 277-283 (2003) |
Permanent URL |
http://hdl.handle.net/2078.1/41024 |