St. Petersburg Mathematical Journal, 10. cilt,1-575. sayfalarAmerican Mathematical Society, 1999 |
Kitabın içinden
86 sonuçtan 1-3 arası sonuçlar
Sayfa 31
... exists a 6 - dimensional Pfister neighbor q such that qC 4 and 9F ( ) is isotropic . In particular , is a 3 - fold Pfister neighbor . We begin the proof with several lemmas . Lemma 4.2 . Let be an anisotropic quadratic form of dimension ...
... exists a 6 - dimensional Pfister neighbor q such that qC 4 and 9F ( ) is isotropic . In particular , is a 3 - fold Pfister neighbor . We begin the proof with several lemmas . Lemma 4.2 . Let be an anisotropic quadratic form of dimension ...
Sayfa 32
... exists s Є F * such that sy 14 € I3 ( F ) . = Proof . Since [ Co ( ) ] = [ Co ( v ) ] , we have d + y = d + . We put d = d = d ± v , L = F ( √d ) ( if d Є F * , we take L = F ) , = 1 ( ( d ) ) , and ↓ = 1 ( d ) ) . Obviously , 4 ...
... exists s Є F * such that sy 14 € I3 ( F ) . = Proof . Since [ Co ( ) ] = [ Co ( v ) ] , we have d + y = d + . We put d = d = d ± v , L = F ( √d ) ( if d Є F * , we take L = F ) , = 1 ( ( d ) ) , and ↓ = 1 ( d ) ) . Obviously , 4 ...
Sayfa 33
... exists f F such that = fp . Since 7 srπ , we obtain TF ( ) - §F ( x ) = Srπ F ( x ) § - § = Hence , TF ( ) = F ( x ) = ( ( f ) P ) F ( * ) · = 0 . Lemma 4.7 . Let be an anisotropic 8 - dimensional form with nontrivial determinant . Let ...
... exists f F such that = fp . Since 7 srπ , we obtain TF ( ) - §F ( x ) = Srπ F ( x ) § - § = Hence , TF ( ) = F ( x ) = ( ( f ) P ) F ( * ) · = 0 . Lemma 4.7 . Let be an anisotropic 8 - dimensional form with nontrivial determinant . Let ...
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A₁ Abelian group anisotropic arbitrary assume asymptotic boundary bounded C*-algebra coefficients compact condition cone conformal map consider constant construction convex Corollary corresponding decompositions defined definition denote dimension domain eigenvalues elements endomorphism English transl entire functions equation equivalent estimate exists exponential type F-algebra field finite formula geodesic Hadamard space harmonic measure Hence Hilbert space homomorphism homotopy II(m implies inequality integral isomorphism isotropic J-unitary k₁ Lemma linear Math Mathematical Mathematics Subject Classification matrices minimum-link module morphism multidegree obtain operator algebra operator space parameters Pfister form Pfister neighbor polynomial problem proof of Theorem properties Proposition proved quadratic form relation representation result satisfies segment sequence solution spectrum strongly stable subgroup Subsection subspace Theorem Theorem 2.1 theory topology unital homomorphism v₁ vector whence