St. Petersburg Mathematical Journal, 19. cilt,1-494. sayfalarAmerican Mathematical Society, 2008 |
Kitabın içinden
83 sonuçtan 1-3 arası sonuçlar
Sayfa 183
... ( n , R , A ) , E ( n , R ) ] ≤ E ( n , R , A ) . Now we are all set to finish the proof . By the previous lemma ... GO ( n , R ) , GO ( n , R ) . Proof . Let g H \ GO ( n , R ) . By Lemma 3 and the corollary to Theorem 3 , there exists a ...
... ( n , R , A ) , E ( n , R ) ] ≤ E ( n , R , A ) . Now we are all set to finish the proof . By the previous lemma ... GO ( n , R ) , GO ( n , R ) . Proof . Let g H \ GO ( n , R ) . By Lemma 3 and the corollary to Theorem 3 , there exists a ...
Sayfa 185
... GO ( n , R ) for all i ‡ ± j , i , j ‡ 0 , § € R. Thus , gTij ( § ) g ̄1 € Qon GO ( n , R ) . By orthogonality , gTij ( E ) g1 € oQ . Hence , goigh — 90 , -j9 ' - i , h = 0. Since 9 . and g . are distinct columns of an invertible matrix ...
... GO ( n , R ) for all i ‡ ± j , i , j ‡ 0 , § € R. Thus , gTij ( § ) g ̄1 € Qon GO ( n , R ) . By orthogonality , gTij ( E ) g1 € oQ . Hence , goigh — 90 , -j9 ' - i , h = 0. Since 9 . and g . are distinct columns of an invertible matrix ...
Sayfa 187
Lemma 15. If H · GO ( n , R ) ^ Y Z GO ( n , R ) , then H contains a nontrivial elementary transvec- tion . Proof . Multiplying y by the orthogonal transvections t11 ( y - i , −1 ) , i ‡ ± 1 , we can assume from the outset that all ...
Lemma 15. If H · GO ( n , R ) ^ Y Z GO ( n , R ) , then H contains a nontrivial elementary transvec- tion . Proof . Multiplying y by the orthogonal transvections t11 ( y - i , −1 ) , i ‡ ± 1 , we can assume from the outset that all ...
İçindekiler
S Alesker Quaternionic plurisubharmonic functions and their applications | 1 |
S ArtsteinAvidan and V D Milman Using Rademacher permutations | 15 |
Burago S Ivanov and D Shoenthal Two counterexamples in low | 33 |
Telif Hakkı | |
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A₁ Algebra asdim assume asymptotic dimension Aut F automorphisms b₁ ball boundary at infinity bounded c₁ cdim Chevalley groups Co(Z commutative ring compact consider constant construct convex body convex sets Corollary cup product defined definition denote diam EEO(n elementary elements English transl EO(n equations estimate Euclidean exists finite Finsler metric function f geodesic geometric GL(n GO(n group G Hence homeomorphism hypdim hyper-Hermitian hyperbolic groups hyperbolic space implies inequality integer invariant isometric isomorphism K₁ Lemma log-concave log-concave function Math matrix matrix-valued function measure metric space nontrivial nonzero obtain open covering orthogonal group overgroups paper Petersburg plurisubharmonic functions polygonal line problem proof of Theorem Proposition prove quasi-isometric quaternionic random satisfies self-similar sequence solution subgroup subset subspace symmetric tensor valuations Theorem 1.1 topological transvection tubular neighborhood uniformly vector