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Currently displaying 1 – 5 of 5

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The Levi problem in non-locally convex seperable topological vector spaces.

Aboubakr Bayoumi — 1990

Mathematica Scandinavica

Bolzano’s intermediate-value theorem for quasi-holomorphic maps

Aboubakr Bayoumi — 2005

Open Mathematics

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

Aboubakr Bayoumi — 2006

Open Mathematics

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

The theory of bounding subsets of topological vector spaces without convexity condition

Bayoumi, Aboubakr — 1990

Portugaliae mathematica

On holomorphic Hahn-Banach extension theorem and properties of bounding and weakly-bounding sets in some metric vector spaces

Bayoumi, Aboubakr — 1989

Portugaliae mathematica

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