An example on composite differentiable functions in infinite dimensions
1989 ◽
Vol 40
(1)
◽
pp. 91-95
◽
Keyword(s):
We present an example showing that a classical result due to Glaeser about the closedness of composition subalgebras of infinitely differentiable functions cannot be extended to the case of weakiy uniformly differentiable functions on Banach spaces.
Keyword(s):