الفهرس 
Basic ConceptsOnly 14 pages are availabe for public view
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Abstract
The proof follows directly from Lemma 3.3.2 and Lemma 3.3.3.
It is well known that the extension form of the Hahn-Banach
theorem for sublinear functionals state that if the functional f0 2
Lin(M), where M is a subspace of linear space E is a dominated
by a one functional S 2 Subl(E), then there exists an extension
functional L 2 Lin(E) which is also a dominated by a functional
S 2 Subl(E). In what follows we answer the following question:
Under what conditions the exists an extension functional L 2
Lin(E) of the functional f0 2 Lin(M), where M is a subspace
of linear space E is a dominated by a ¯nite system of functionals
Sj 2 Subl(E), which is also a dominated by its system?. The
answer of the last question is considered as the generalization
of the extension from of the Hahn-Banach theorem for sublinear
functionals and also is considered as an application of our work.