St. Petersburg Mathematical Journal, 10. cilt,1-575. sayfalarAmerican Mathematical Society, 1999 |
Kitabın içinden
82 sonuçtan 1-3 arası sonuçlar
Sayfa 31
= Proof . First , we treat the case where dim = 4 and GP2 ( F ) . Assume that iw ( PF ( v ) ) > 1. Then dim ( F ( ) ) an 4 , whence ind F ( ) 2. Since ind≥ 4 , the index reduction formula shows that ind 4 and ind C ( ) & Co ( v ) = 1 ...
= Proof . First , we treat the case where dim = 4 and GP2 ( F ) . Assume that iw ( PF ( v ) ) > 1. Then dim ( F ( ) ) an 4 , whence ind F ( ) 2. Since ind≥ 4 , the index reduction formula shows that ind 4 and ind C ( ) & Co ( v ) = 1 ...
Sayfa 40
... PROOF OF THEOREM 6.5 Multiplying by a coefficient , we may assume that 1 € DF ( v ) . Since Conjecture 6.2 is proved for n ≤ 2 ( see Remark 6.3 ) , we assume that n ≥ 3. Thus , in the proof of Theorem 6.5 we may assume that the ...
... PROOF OF THEOREM 6.5 Multiplying by a coefficient , we may assume that 1 € DF ( v ) . Since Conjecture 6.2 is proved for n ≤ 2 ( see Remark 6.3 ) , we assume that n ≥ 3. Thus , in the proof of Theorem 6.5 we may assume that the ...
Sayfa 569
... proof in [ 7 ] closely resembles Arnol'd's proof and arose as a result of pondering over it . In both proofs , the quantity to be estimated is represented as the signature of a quadratic form , and the latter is estimated by the ...
... proof in [ 7 ] closely resembles Arnol'd's proof and arose as a result of pondering over it . In both proofs , the quantity to be estimated is represented as the signature of a quadratic form , and the latter is estimated by the ...
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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