2. Finite-dimensional spaces

2.1 General results

All the above applies when H is a finite-dimensional vector space p on $K$ . In this case, the terminology is clarified. A real pre-Hilbert space is called a Euclidean space, and a complex pre-Hilbert space is called a Hermitian space.

Schmidt's procedure, applied to any basis of H, shows that H admits an orthonormal basis ${(ϵ_{k})}_{1 \leq k \leq p}$ ...

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Finite-dimensional spaces

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Hilbert spaces

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References

In Engineering Techniques

(1) - LINO (D.), RANDÉ (B.) - Calcul différentiel - . , Mathématiques pour l'ingénieur (1997).
(2) - RANDÉ (B.) - Familles sommables - . , Mathématiques pour l'ingénieur (2002)....

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