Non-Euclidean Banach spaces
Functional analysis - Part 1
Article REF: AF100 V1
Non-Euclidean Banach spaces
Functional analysis - Part 1

Author : Gilles GODEFROY

Publication date: April 10, 2003, Review date: November 19, 2019 | Lire en français

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3. Non-Euclidean Banach spaces

3.1 Dual space

We saw in paragraph 2 that Hilbert spaces provide a framework in which a large part of the analysis can be carried out. For many applications, however, it is necessary to leave this comfortable framework and consider Banach spaces other than Hilbert spaces.

We have seen, in application of Theorem 5, that the Hilbert space...

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