Results 11 to 20 of about 329 (32)
On Fixed Point Property under Lipschitz and Uniform Embeddings
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 We first present a generalization of ω⁎‐Gâteaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a Banach space has the fixed point property for isometries if it Lipschitz embeds into a super reflexive space. With the
Jichao Zhang +3 more
wiley +1 more source
More (\ell_r) saturated (\mathcal{L}_\infty) spaces [PDF]
arXiv, 2010 We present some new examples of separable (\mathcal_\infty) spaces which are (\ell_r) saturated for some (1 < r < \infty).
arxiv
Generalization of a theorem of Zippin [PDF]
arXiv, 2017 We generalize and prove a result which was first shown by Zippin, and was explicitly formulated by Benyamini.
arxiv
Characterizing Hilbert space frames with the subframe property [PDF]
41 No. 4 (1997) Illinois J. Math, p 648-666, 1998 We characterize Riesz frames and frames with the subframe property and use this to answer most of the questions from the literature concerning these properties and their relationships to the projection methods etc.
arxiv
On the complemented subspaces of the Schreier spaces [PDF]
arXiv, 1999 It is shown that the Schreier space X admits a set of continuum cardinality whose elements are mutually incomparable complemented subspaces spanned by subsequences of the natural Schauder basis of X.
arxiv
Subspaces of c_0 and Lipschitz isomorphisms [PDF]
arXiv, 1999 We show that the class of subspaces of c_0 is stable under Lipschitz isomorphisms. The main corollary is that any Banach space which is Lipschitz isomorphic to c_0 is linearly isomorphic to c_0.
arxiv
Spaces C(K) with an equivalent URED norm [PDF]
arXiv, 2020 We prove that a Banach space of continuous functions $C(K)$ has a renorming that is uniformly rotund in every direction (URED) if and only if the compact space $K$ supports a strictly positive ...
arxiv
Szlenk indices and uniform homeomorphisms [PDF]
arXiv, 1999 We prove some rather precise renorming theorems for Banach spaces with Szlenk index $\omega_0$. We use these theorems to show the invariance of certain quantitative Szlenk-type indices under uniform homeomorphisms.
arxiv
A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2 [PDF]
arXiv, 2001 We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype ...
arxiv
How many operators do there exist on a Banach space? [PDF]
arXiv, 2002 We present partial results to the following question: Does every infinite dimensional Banach space have an infinite dimensional subspace on which one can define an operator which is not a compact perturbation of a scalar multiplication?
arxiv