共查询到20条相似文献,搜索用时 31 毫秒
1.
Mathieu Florence 《Archiv der Mathematik》2011,97(3):247-249
Let k be a field and A be a separable k-algebra. Let r ≥ 3 be an integer. Generalizing a result of Reichstein (Arch. Math. 88 (2007), 12–18), we prove that the essential dimension over k of A equals that of the r-fold trace form
Fr: (a1,?,ar)? tr(a1?ar)F_r: (a_1,\ldots,a_r)\mapsto \mbox{tr}(a_1\ldots a_r) 相似文献
2.
T.-A. Tanaka 《Archiv der Mathematik》2002,78(3):202-209
Transcendence of the number ?k=0¥ ark \sum_{k=0}^\infty \alpha^{r_k} , where a \alpha is an algebraic number with 0 < | a | \mid\alpha\mid > 1 and {rk}k\geqq0 \{r_k\}_{k\geqq0} is a sequence of positive integers such that limk?¥ rk+1/rk = d ? \mathbbN \{1} \lim_{k\to\infty}\, r_{k+1}/r_k = d \in \mathbb{N}\, \backslash \{1\} , is proved by Mahler's method. This result implies the transcendence of the number ?k=0¥ akdk \sum_{k=0}^\infty \alpha^{kd^k} . 相似文献
3.
Markus Haase 《Integral Equations and Operator Theory》2006,56(2):197-228
We generalize a Hilbert space result by Auscher, McIntosh and Nahmod to arbitrary Banach spaces X and to not densely defined injective sectorial operators A. A convenient tool proves to be a certain universal extrapolation space associated with A. We characterize the real interpolation space
( X,D( Aa ) ?R( Aa ) )q,p{\left( {X,\mathcal{D}{\left( {A^{\alpha } } \right)} \cap \mathcal{R}{\left( {A^{\alpha } } \right)}} \right)}_{{\theta ,p}}
as
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