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Read e-book online Dictionnaire Russe-Francais d'etymologie comparee : PDF

By Sergueï Sakhno

ISBN-10: 2747502198

ISBN-13: 9782747502191

Les mots ont une " mémoire " secrète : leur histoire, c'est celle de nos cultures, de notre pensée collective inconsciente. A ce titre, le russe a une grande valeur pédagogique, similar à celle du latin ou du grec, pour faire comprendre à un francophone los angeles formation et le fonctionnement de sa propre langue, le français, et pour lui faire mieux connaître les autres principales langues européennes.

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Additional resources for Dictionnaire Russe-Francais d'etymologie comparee : Correspondances lexicales historiques French

Example text

Let Un E ReA be such that lIunll = 1 and {un} be a dense set in the unit sphere of ReA. Let W = L 2-nu~, WE CR(X). Let B denote ReA Rw the subspace generated by ReA and W in CR(X). Let us fix an Xo E X. Since the functional Q~o is a seminorm, by the Hahn-Banach theorem there is a functional Jl on CR(X) such that J1(w) ~ Q~O

3). The theorem is proved. R(F» 00 Ch. 4. 3. 4. If Jl E AJ. , then AIF and A/kF are isometrically isomorphic. If for any Jl E Al. we have JlF = 0, then AIF = C(F) and is isometrically isomorphic to A/kF. 2. 5. Let F be an intersection of peak sets for A. Then AIF is isometrically isomorphic to A/kF. Proof. 1) we know that II/IFII ~ II! + kFIl (fE A). Let U be the open set on which If I < II/IFII +6 for a fixed f EA. Obviously, FeU and therefore there is a peak set K such that F eKe U. Let g E A with g = 1 on K and Igi < 1 on X - K.

8 implies that x belongs to the Choquet boundary of X relative to A. Conversely, let x be a Choquet point and suppose x = raT + + (I - r)a: with 0 < r < I and a~, a: E (X), af i= a:. By Proposition 2. (j) = Jfdp,l a:(j) = If we write p, = rJII on X, JI(X) = I and f(x) = Jf dll + (I 2 (f E A), (fEA) - r )P,2' then 11 is a positive measure Jfdp, (fE A) then p, ~ ex. Since aT ¥: a:, we have JII ¥: P,2' Hence III i= ex say, which means JII( {x}) < 1. e. p, ¥: ex. Thus we have constructed a measure 11 ~ ex, different from ex, which contradicts the fact that x is a Choquet point.

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Dictionnaire Russe-Francais d'etymologie comparee : Correspondances lexicales historiques French by Sergueï Sakhno


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