Banachian Differentiable Spaces.
Banach-Stone Theorems for Banach Manifolds.
Bayoumi quasi-differential is not different from Fréchet-differential
Unlike for Banach spaces, the differentiability of functions between infinite-dimensional nonlocally convex spaces has not yet been properly studied or understood. In a paper published in this Journal in 2006, Bayoumi claimed to have discovered a new notion of derivative that was more suitable for all F-spaces including the locally convex ones with a wider potential in analysis and applied mathematics than the Fréchet derivative. The aim of this short note is to dispel this misconception, since...
Bounded approximants to monotone operators on Banach spaces