The theory of bounding subsets of topological vector spaces without convexity condition
On holomorphic Hahn-Banach extension theorem and properties of bounding and weakly-bounding sets in some metric vector spaces
The Levi problem in non-locally convex seperable topological vector spaces.
Bolzano’s intermediate-value theorem for quasi-holomorphic maps
We extend Bolzano’s intermediate-value theorem to quasi-holomorphic maps of the space of continuous linear functionals from l p into the scalar field, (0< p<1). This space is isomorphic to l ∞.
Bayoumi Quasi-Differential is different from Fréchet-Differential
We prove that the Quasi Differential of Bayoumi of maps between locally bounded F-spaces may not be Fréchet-Differential and vice versa. So a new concept has been discovered with rich applications (see [1–6]). Our F-spaces here are not necessarily locally convex
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