Đề tài " The derivation problem for group algebras " pot

... 1.1) that Annals of Mathematics The derivation problem for group algebras By Viktor Losert THE DERIVATION PROBLEM FOR GROUP ALGEBRAS 239 Φ is continuous for the norm-topology on ... xyx −1 (see the proof of THE DERIVATION PROBLEM FOR GROUP ALGEBRAS 225 Corollary 1.2), they write N for the closure of the elements of G belonging to re...

Ngày tải lên: 06/03/2014, 08:21

... deduce the same bound for s in a 1/ log q neighborhood of the critical line and by Cauchy’s formula we deduce the bound for es =1/2 for all the derivatives. THE SUBCONVEXITY PROBLEM FOR RANKIN-SELBERG ... g (the level or the eigenvalue), a question for which there is no available reference. Indeed, the polynomial control in the other parameters is crucial for...

Ngày tải lên: 22/03/2014, 16:20

... (n, n 2 ). Proof. The proof is by induction. The result for Q 0 is obvious, and the result for Q 1 ∼ = P 1 is Property (D). Except for the base cases in the previous paragraph, the argument for the odd ... This gives us the formulas in part (a) and (b). Part (c) is Proposition 4.6. THE HOPF CONDITION FOR BILINEAR FORMS 947 For us, the most important consequence...

Ngày tải lên: 06/03/2014, 08:21

... proof of Theorem 1. (ii) Actually the above results show how one can read off the covering properties of the family of intervals I i,j (µ) for i<jfrom the corresponding overlappings of the families ... F − (µ)over the gap interval. In par- ticular they show that the length and exact location in E(µ)ofthe special intervals I i,r (if any) depend only on the behavior of the...

Ngày tải lên: 14/03/2014, 22:20

... for these subpaths. The statement is clear for the exceptional subpaths. For a single edge E with 22 MLADEN BESTVINA, MARK FEIGHN, AND MICHAEL HANDEL f(E)=E · u, the sequence {[f k (E)]} is the ... in G. Assume that for infinitely many values of k the path A k lifts to G  starting at a given vertex x ∈ G  . Then the same is true for all large k. Furthermore, the lifts...

Ngày tải lên: 22/03/2014, 20:20

... linear forms from the preamble to Lemma 6, and extend these conventions in the natural way so as to apply to the set {Λ 1 , ,Λ s }. By the hypotheses of the statement of Theorem 2, one finds that for ... equivalence classes are Λ 1 , ,Λ t . For each in- dex i, let r i denote the number of linear forms amongst Λ 1 , ,Λ 12 equivalent to Λ i . Then in view of the hypotheses of...

Ngày tải lên: 22/03/2014, 20:21

... denote the formal group giving the kernel of reduction modulo p on E. The theory of complex multiplication shows that ˆ E is a Lubin-Tate formal group of height two over O p for the uniformizing ... canonical isomorphism between the kernel of reduction and the formal group ˆ E, and the third is the formal group logarithm map. Definition 3.1. For n ≥ 0 let Q n denote...

Ngày tải lên: 28/03/2014, 22:20

... C ∗ -algebras. We have proved that ON THE CLASSIFICATION PROBLEM FOR NUCLEAR C ∗ -ALGEBRAS 1043 the moment one relaxes the slow dimension growth condition for AH algebras (and therefore, a fortiori ... K 1 and the fact that α induces the identity map on the Elliott invariant force α to induce the identity map at the level of the Hausdorffized algebraic K 1 -group....

Ngày tải lên: 16/02/2014, 06:20

... g  (x) 2 is the square of the norm of the differential for the metric dual to e 0 , the induced Euclidean metric. Now (4.8) is a standard eikonal equation on G and we can find solutions of the form g(x) ... dimension n ≥ 3, the knowledge of the Cauchy data for the Schr¨odinger equation measured on possibly very small subsets of the boundary determines uniquely the pot...

Ngày tải lên: 16/02/2014, 06:20

... most of the estimates for the terms in the right-hand side here for k ≥ 2. The basic inequalities remain valid for k = 1 by trivial modifications which we again leave to the reader. For the various ... t −K−2 k . The estimate for E k,4 comes from Theorem A, or rather Theorem 1 in [KSb], which is the basis for the right-hand inclusion in Theorem A. Indeed, we have,...

Ngày tải lên: 16/02/2014, 06:20