Some equivalence relations which are Borel reducible to isomorphism between separable Banach spaces

Ferenczi V; Galego EM

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Some equivalence relations which are Borel reducible to isomorphism between separable Banach spaces

机译：可分离Banach空间之间同构的Borel可归约的一些等价关系

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We prove that the relation E-K sigma is Borel reducible to isomorphism and complemented biembeddability between subspaces of c(0) or l(p) with 1 <= p < 2. We also show that the relation E-K sigma circle times =(+) is Borel reducible to isomorphism, complemented biembeddability, and Lipschitz isomorphism between subspaces of L-p for 1 < p < 2.

机译：我们证明关系EK sigma是Borel可归约的同构并且具有1 <= p <2的c（0）或l（p）子空间之间的互补双嵌入性。我们还证明了关系EK sigma圆周时间=（+）为对于1 <2，Lp子空间之间的Borel可还原为同构，互补双嵌入性和Lipschitz同构。

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《Israel Journal of Mathematics》 |2006年第0期|共22页
作者
Ferenczi V; Galego EM;
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正文语种 eng
中图分类数学;
关键词
UNCONDITIONAL BASES; CLASSIFICATION; UNIQUENESS; SUBSPACES;

机译：无条件基础;分类;唯一性;子空间;

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专利

1. Some equivalence relations which are borel reducible to isomorphism between separable banach spaces [J] . Valentin Ferenczi, Elói Medina Galego Israel Journal of Mathematics . 2006,第1期

机译：可分离的banach空间之间的同构可归纳为等价的一些等价关系
2. Isomorphism of subshifts is a universal countable borel equivalence relation [J] . John D. Clemens Israel Journal of Mathematics . 2009,第1期

机译：子换档的同构是一个普遍的可计数的等价关系
3. ISOMORPHISM OF SUBSHIFTS IS A UNIVERSALCOUNTABLE BOREL EQUIVALENCE RELATION [J] . JOHN D. CLEMENS Israel Journal of Mathematics . 2009,第Null期

机译：子句的同构是一个通用的BOREL等价关系
4. On the isomorphism between Banach spaces and Hilbert spaces [C] . Zhu, S.Q. . 1993

机译：Banach空间和Hilbert空间之间的同构
5. An inquiry into the number of isomorphism classes of Boolean algebras and the Borel cardinality of certain Borel equivalence relations. [D] . Oliver, Michael Ray. 2003

机译：查询布尔代数的同构类的数量和某些Borel等价关系的Borel基数。
6. The spatial isomorphism problem for close separable nuclear C*-algebras [O] . Erik Christensen, Allan M. Sinclair, Roger R. Smith, 2010

机译：紧密可分离的核C *-代数的空间同构问题
7. Some equivalence relations which are Borel reducible to isomorphism between separable Banach spaces [O] . Valentin Ferenczi, et al. 2004

机译：一些等价关系是Borel可简化为可分离Banach空间之间的同构

Some equivalence relations which are Borel reducible to isomorphism between separable Banach spaces

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