کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4591594 | 1335039 | 2011 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A generalization of the cellular indecomposable property via fiber dimension
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A generalization of the cellular indecomposable property via fiber dimension A generalization of the cellular indecomposable property via fiber dimension](/preview/png/4591594.png)
چکیده انگلیسی
The cellular indecomposable property, introduced by Olin and Thomson in 1984 [11], is well known for the Dirichlet space, but it fails trivially for the vector-valued case. The purpose of this paper is to use the fiber dimension to reformulate the property such that it naturally extends the scalar-valued case, yet fix the vector-valued case in a meaningful way. Using the new formulation, we are able to generalize several previous results to the vector-valued setting. In particular, we extend a theorem of Bourdon relating the cellular indecomposable property and the codimension-one property to codimension-N. Several of our results appear to be new even for the Hardy space over the unit disc.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 260, Issue 10, 15 May 2011, Pages 2964-2985
Journal: Journal of Functional Analysis - Volume 260, Issue 10, 15 May 2011, Pages 2964-2985