L^p([0,1])的均匀粗刚度

IF 0.7 3区数学 Q2 MATHEMATICS

Studia Mathematica Pub Date : 2022-06-04 DOI:10.4064/sm220603-6-8

Christian Rosendal

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引用次数: 1

摘要

．如果X是一个几乎传递巴拿赫空间与顺从的等距集团(例如,如果X = L p([0, 1])与1 < p <∞)和X承认均匀连续映射φ−→E为巴拿赫空间E满足正k X−y k = r (cid: 13) (cid: 13)φ(X)−φ(y) (cid: 13) (cid: 13) > 0对一些r > 0(φ几乎是气泡状),那么X承认同时制服和粗嵌入到巴拿赫空间V是在L有限表示的2 (E)。

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On uniform and coarse rigidity of $L^p([0,1])$

. If X is an almost transitive Banach space with amenable isometry group (for example, if X = L p ([0 , 1]) with 1 < p < ∞ ) and X admits a uniformly continuous map X φ −→ E into a Banach space E satisfying inf k x − y k = r (cid:13)(cid:13) φ ( x ) − φ ( y ) (cid:13)(cid:13) > 0 for some r > 0 (that is, φ is almost uncollapsed ), then X admits a simultaneously uniform and coarse embedding into a Banach space V that is ﬁnitely representable in L 2 ( E ).

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来源期刊

Studia Mathematica 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

5 months

期刊介绍： The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.