Zobrazeno 1 - 10
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pro vyhledávání: '"Dilworth, S"'
Let $X$ be Banach space which is not super-reflexive. Then, for each $n\ge1$ and $\varepsilon>0$, we exhibit metric embeddings of the Laakso graph $\mathcal{L}_n$ into $X$ with distortion less than $2+\varepsilon$ and into $L_1[0,1]$ with distortion
Externí odkaz:
http://arxiv.org/abs/2203.08229
In his study of the Radon Nikod\'ym property of Banach spaces, Bourgain showed (among other things) that in any closed, bounded, convex set $A$ that is nondentable, one can find a separated, weakly closed bush. In this note, we prove a generalization
Externí odkaz:
http://arxiv.org/abs/1910.11962
Autor:
Dilworth, S. J., Wright, Duncan
Publikováno v:
S. J. Dilworth and D. Wright, A Direct Proof of the Reflection Principle for Brownian Motion, Theory of Stochastic Processes 21(37) (2016), no. 2, pg. 1-3
We present a self-contained proof of the reflection principle for Brownian Motion.
Externí odkaz:
http://arxiv.org/abs/1810.01783
Autor:
Dilworth, S. J., Khurana, Divya
We shall present new characterizations of partially greedy and almost greedy bases. A new class of basis (which we call reverse partially greedy basis) arises naturally from these characterizations of partially greedy bases. We also give characteriza
Externí odkaz:
http://arxiv.org/abs/1805.06778
We investigate various aspects of the "weighted" greedy algorithm with respect to a Schauder basis. For a weight w, we describe w-greedy, w-almost-greedy and w-partially-greedy bases, and show some properties of w-semi-greedy bases. To achieve these
Externí odkaz:
http://arxiv.org/abs/1803.05052
Publikováno v:
In Journal of Functional Analysis 1 March 2021 280(5)
Our aim is to investigate the properties of existence and uniqueness of greedy bases in Banach spaces. We show the non-existence of greedy basis in some Nakano spaces and Orlicz sequence spaces and produce the first-known examples of non-trivial spac
Externí odkaz:
http://arxiv.org/abs/1505.08119
We provide a Laakso construction to prove that the property of having an equivalent norm with the property $(\beta)$ of Rolewicz is qualitatively preserved via surjective uniform quotient mappings between separable Banach spaces. On the other hand, w
Externí odkaz:
http://arxiv.org/abs/1408.6424
We study the problem of improving the greedy constant or the democracy constant of a basis of a Banach space by renorming. We prove that every Banach space with a greedy basis can be renormed, for a given $\vare>0$, so that the basis becomes $(1+\var
Externí odkaz:
http://arxiv.org/abs/1403.3777
Autor:
Dilworth, S. J., Randrianantoanina, B.
We prove that the spaces $\ell_p$, $1
Externí odkaz:
http://arxiv.org/abs/1310.7139