Dobrowolski, Smooth negligibility of compact sets in infinitedimensionalBanach spaces, with applications, Math. Ann. 312 (1998), 445-463.D. Azagra, and T. Dobrowolski, Smooth negligibility of compact sets in infinite-dimensional Banach spaces, with applications, Math. Ann. 312 (1998), no. ...
Let I denote the complement in the fiber {y, T y, . . . , T Ny−1y} of the union of blocks. Using the assumption that C ⊂ K, we obtain Ny −1 1C(T iy) − ν (C ) ν(K) Ny −1 1K (T iy) ≤ l hj −1 1C (T iyj) − ν (C ) ν(K) hj −1...
It turns out that \(\varphi \) is a unique infinite-dimensional locally convex space which is a \(k_{\mathbb {R}}\) -space containing no infinite-dimensional compact subsets. Applications to spaces \(C_{p}(X)\) are provided. 展开 ...
Why is it that the intersection of two infinite sets is not always an infinite set, but the union of two infinite sets is? Prove that if S is any finite set of real numbers, then the union of S and the integers is countably infinite. De...
Answer to: Let A, B be disjoint infinite sets. Prove that their union A \cup B is denumerable if and only if both A and B are denumerable. By...
The complex projective space CPn, the union of complex straight lines through 0 in Cn+1, is a compact complex manifold of dimension n. Similarly to the notion of differentiable mapping between differentiable manifolds, we have the notion of holomorphic mapping between complex manifolds. A smooth ...
Random setsSubadditive ergodic theoremWe prove pointwise and mean versions of the subadditive ergodic theorem for superstationary families of compact, convex random subsets of a real Banach space, extending previously known results that were obtained in finite dimensions or with additional hypotheses on ...
partial choice for infinite families of n-element setspartial choice for infinite families of finite sets.For every $n\\in \\omega \\setminus \\{0,1... S Schumacher - 《Journal of Symbolic Logic》 被引量: 0发表: 2021年 The number of abundant elements in union-closed families without sm...
For nonatomic games with a compact action set in a finite-dimensional space, the existence of pure-strategy Nash equilibria is shown in Rath (1992). See also Khan et al. (1997) for the positive results on pure-strategy Nash equilibria for games with countable actions in an infinite-dimension...
Theorem 1.2 provides a large class of concrete (non-metrizable) lcs containing infinite-dimensional compact sets. Corollary 1.5 Every uncountable-dimensional subspace of an (LM)-space contains an infinite-dimensional compact set. Let X be a Tychonoff space. By Cp(X) and Ck(X) we denote the...