کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772249 | 1413354 | 2017 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the classification of positions and complex structures in Banach spaces
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the classification of positions and complex structures in Banach spaces On the classification of positions and complex structures in Banach spaces](/preview/png/5772249.png)
چکیده انگلیسی
A topological setting is defined to study the complexities of the relation of equivalence of embeddings (or “position”) of a Banach space into another and of the relation of isomorphism of complex structures on a real Banach space. The following results are obtained: a) if X is not uniformly finitely extensible, then there exists a space Y for which the relation of position of Y inside X reduces the relation E0 and therefore is not smooth; b) the relation of position of âp inside âp, or inside Lp, pâ 2, reduces the relation E1 and therefore is not reducible to an orbit relation induced by the action of a Polish group; c) the relation of position of a space inside another can attain the maximum complexity Emax; d) there exists a subspace of Lp, 1â¤p<2, on which isomorphism between complex structures reduces E1 and therefore is not reducible to an orbit relation induced by the action of a Polish group.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 272, Issue 9, 1 May 2017, Pages 3845-3868
Journal: Journal of Functional Analysis - Volume 272, Issue 9, 1 May 2017, Pages 3845-3868
نویسندگان
Razvan Anisca, Valentin Ferenczi, Yolanda Moreno,