搜索结果: 1-15 共查到“函数论 Banach”相关记录16条 . 查询时间(0.078 秒)
On removability properties of $ψ$-uniform domains in Banach spaces
Uniform domain uniform domain removability property quasihyperbolic metric
2012/6/9
Suppose that $E$ and $E'$ denote real Banach spaces with the same dimension at least 2. The main aim of this paper is to show that a domain $D$ in $E$ is a $\psi$-uniform domain if and only if $D\back...
Integrability of weak distributions on Banach manifolds
Banach manifold weak Banach submanifold weak distribution integral manifold
2011/1/19
This paper concerns the problem of integrability of non closed distributions on Banach
manifolds. We introduce the notion of weak distribution and we look for conditions under
which these distributi...
On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler Manifolds
Riemannian manifolds Finsler manifolds Banach spaces
2011/2/24
Let us consider a Riemannian manifold M (either separable or non-separable). We prove that, for every " > 0, every Lipschitz function f : M ! R can be uniformly approximated by a Lipschitz, C1-smooth ...
Approximation of functions and their derivatives by analytic maps on certain Banach spaces
Approximation of functions derivatives analytic maps
2010/11/24
Let X be a separable Banach space which admits a separating polynomial; in particular X a separable Hilbert space. Let $f:X \rightarrow R$ be bounded, Lipschitz, and $C^1$ with uniformly continuous d...
Every Banach ideal of polynomials is compatible with an operator ideal
Polynomial ideals operator ideals
2010/11/30
We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of n-homogeneous polyn...
Approximation of a Mixed Functional Equation in Quasi-Banach Spaces
Generalized Hyers-Ulam stability additive function cubic function quasi-Banach space $p$-Banach space
2010/1/22
In this paper we establish the general solution of the functional equation and investigate its generalized Hyers-Ulam stability in quasi-Banach spaces. The concept of Hyers-Ulam-Rassias stab...
Minimization of Nonsmooth Convex Functionals in Banach Spaces
Banach spaces nonsmooth optimization subgradient methods metric projection generalized projection weak convergence
2009/2/5
We develop a unified framework for convergence analysis of subgradient and subgradient projection methods for minimization of nonsmooth convex functionals in Banach spaces. The important novel featu...
Unbounded Linear Monotone Operators on Nonreflexive Banach Spaces
Linear Monotone Operators Nonreflexive Banach Spaces
2009/1/23
This study of unbounded linear monotone operators $T\colon E \to E^*$ for nonreflexive Banach spaces $E$ was motivated by the (still open) problem of distinguishing between several well-studied classe...
Denting Points in Bochner Banach Ideal Spaces X(E)
Denting Points Bochner Banach Ideal Spaces X(E)
2009/1/20
Let $(X, \|.\|_{X})$ be an order-continuous Banach ideal space over a $\sigma-$ finite measure space $(\Omega,\Sigma,\mu)$ and $E$ a Banach space. We prove that a function $f$ of the vector Banach ide...
The Distribution of Unbounded Random Sets and the Multivalued Strong Law of Large Numbers in Nonreflexive Banach Spaces
distribution of random sets multivalued strong law of large numbers set convergence measurable multifunctions convex sets
2009/1/20
In the first part, we introduce appropriate tools concerning the distribution of random sets. We study the relation between the distribution of a random set, whose values are closed subsets of a Banac...
Total Convexity for Powers of the Norm in Uniformly Convex Banach Spaces
Uniformly Convex Banach Spaces Norm Total Convexity
2009/1/13
The aim of the paper is to show that, in uniformly convex Banach spaces, the powers of the norm with exponent r > 1 share a property called total convexity. Using this fact we establish a formula for ...
In this paper, we show the triangle inequality and its reverse inequality in quasi-Banach spaces.
可分Banach空间上的局部Lipschitz函数的可微性(英文)
2007/12/17
一直到最近,有不少人认为,对于可分Hilbert空间,存在处处Gteaux可微、但处处Fréchet不可微的Lipschitz函数。为此,人们还构造了好几个“反例”;但遗憾的是,这些“反例”都是错的。最近,Preiss又构造了一个新的反例;这是一个ι~2上的Lipschitz函数,处处Gteaux可微,但仅在ι~2的一个残集上不Fréchet可微。 本文将对其对偶强可分的Banach空间(从而包括...
Banach 值函数空间的一个乘子
2007/12/12
本文研究了从有界正则 Banach 值测度到 Banach 值 p(1≤p≤∞)次可积函数空间的模同态和不变算子.得到了所述的算子和模同态的三个等价关系.此外证明了如下结果:模同态和不变算子等距同构的充要条件是作为值域的 Banach 空间的维数等于一.
Auerbach 与 Banach 的一个定理的推广
2007/12/12
Auerbach 与 Banach 曾证明,当$0<\sigma<\tau \leq1$时,在满足σ阶Lipschitz 条件的函数中,存在函数 f(x)使关系式$\bar{\lim\limits_{x'\rightarrowx}}\frac{|f(x')-f(x)|}{|x'-x|^x}=+\infty$处处成立.本文将推广这个定理,并从而得到如下的推论:设φ(x)是定义在[0,1]上的增函数,...