Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Bargetz, Christian"'
We study the extremality of nonexpansive mappings on a nonempty bounded closed and convex subset of a normed space (therein specific Banach spaces). We show that surjective isometries are extremal in this sense for many Banach spaces, including Banac
Externí odkaz:
http://arxiv.org/abs/2409.04292
We study the existence of continuous (linear) operators from the Banach spaces $\mbox{Lip}_0(M)$ of Lipschitz functions on infinite metric spaces $M$ vanishing at a distinguished point and from their predual spaces $\mathcal{F}(M)$ onto certain Banac
Externí odkaz:
http://arxiv.org/abs/2405.09930
We use a special tiling for the hyperbolic $d$-space $\mathbb{H}^d$ for $d=2,3,4$ to construct an (almost) explicit isomorphism between the Lipschitz-free space $\mathcal{F}(\mathbb{H}^d)$ and $\mathcal{F}(P)\oplus\mathcal{F}(\mathcal{N})$ where $P$
Externí odkaz:
http://arxiv.org/abs/2402.04201
Autor:
Bargetz, Christian, Luggin, Franz
We consider the method of alternating (metric) projections for pairs of linear subspaces of finite dimensional Banach spaces. We investigate the size of the set of points for which this method converges to the metric projection onto the intersection
Externí odkaz:
http://arxiv.org/abs/2305.19908
Publikováno v:
Rev. R. Acad. Cienc. Exactas F\'is. Nat. Ser. A Mat. RACSAM 118(2024), no.3, Paper No. 118
We study homogeneity aspects of metric spaces in which all triples of distinct points admit pairwise different distances; such spaces are called isosceles-free. In particular, we characterize all homogeneous isosceles-free spaces up to isometry as ve
Externí odkaz:
http://arxiv.org/abs/2305.03163
On generic convergence of successive approximations of mappings with convex and compact point images
We study the generic behavior of the method of successive approximations for set-valued mappings in separable Banach spaces. We consider the case of nonexpansive mappings with convex and compact point images and show that for the typical such mapping
Externí odkaz:
http://arxiv.org/abs/2211.02298
Publikováno v:
J. Math. Anal. Appl. 526(1): Article 127179, 2023
We investigate typical properties of nonexpansive mappings on unbounded complete hyperbolic metric spaces. For two families of metrics of uniform convergence on bounded sets, we show that the typical nonexpansive mapping is a Rakotch contraction on e
Externí odkaz:
http://arxiv.org/abs/2204.10279
We present projective descriptions of classical spaces of functions and distributions. More precisely, we provide descriptions of these spaces by semi-norms which are defined by a combination of classical norms and multiplication or convolution with
Externí odkaz:
http://arxiv.org/abs/2109.14448
We study the question for which Tychonoff spaces $X$ and locally convex spaces $E$ the space $C_p(X,E)$ of continuous $E$-valued functions on $X$ contains a complemented copy of the space $(c_0)_p=\{x\in\mathbb{R}^\omega\colon x(n)\to0\}$, both endow
Externí odkaz:
http://arxiv.org/abs/2107.03211
Publikováno v:
Proc. Amer. Math. Soc. 150 (2022) 3841-3852
We provide explicit sequence space representations for the test function and distribution spaces occurring in the Valdivia-Vogt structure tables by making use of Wilson bases generated by compactly supported smooth windows. Furthermore, we show that
Externí odkaz:
http://arxiv.org/abs/2107.00245