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61 sonuçtan 1-3 arası sonuçlar
Sayfa 10
It turns out that there exists an isometric embedding f : lž + ( 22 ] . Indeed , if r = lå ( 81 , 82 ) E and 9 p ! = = . 1 1 ( 1.3 ) fr = 4 E2 $ 1 + $ 1 2 3 Eli , 3 then || fx || = || x || by the elementary identity tas + s Vase £ 2 ...
It turns out that there exists an isometric embedding f : lž + ( 22 ] . Indeed , if r = lå ( 81 , 82 ) E and 9 p ! = = . 1 1 ( 1.3 ) fr = 4 E2 $ 1 + $ 1 2 3 Eli , 3 then || fx || = || x || by the elementary identity tas + s Vase £ 2 ...
Sayfa 11
A linear mapping film nem is isometric if and only if its frame satisfies the basic identity ( 1.6 ) Sl ( uk , x ) | P = ( x , x ) P / 2 , € . n ΣΙω . k = 1 Proof . The identity ( 1.6 ) means precisely that || fx | lp = || x || 2 ...
A linear mapping film nem is isometric if and only if its frame satisfies the basic identity ( 1.6 ) Sl ( uk , x ) | P = ( x , x ) P / 2 , € . n ΣΙω . k = 1 Proof . The identity ( 1.6 ) means precisely that || fx | lp = || x || 2 ...
Sayfa 16
Our identity turns into ( 2.10 ) ( 1 +59 ) 2 = [ w ( 5 ) ) " , where w ( ) is a quadratic polynomial . The left - hand side of ( 2.10 ) has a distinct complex roots against at most 2 distinct roots on the right .
Our identity turns into ( 2.10 ) ( 1 +59 ) 2 = [ w ( 5 ) ) " , where w ( ) is a quadratic polynomial . The left - hand side of ( 2.10 ) has a distinct complex roots against at most 2 distinct roots on the right .
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL lpSPACES | 11 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
ABSTRACT The nonexistence of isometric embeddings em nen with p + q is proved | 296 |
Telif Hakkı | |
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analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients collection compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding English equal equation estimate example exists fact fibers field finite fixed formula function given graph harmonic identity implies inequality integral introduce invertible Lemma linear manifold Math Mathematical matrix monodromy Moreover norm obtain operator oriented pair particular periodic polynomial positive potential present problem proof properties Proposition prove rational relation Remark representation respect result satisfies selfadjoint separation singular smooth solution space spectral spectrum statement Subsection sufficiently supp Suppose surface symmetric Theorem theory transformation transl true unique values vector vertex vertices zero