کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772161 | 1413348 | 2017 | 54 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A study of conditional spreading sequences
ترجمه فارسی عنوان
مطالعه توالی های گسترش شرطی
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
It is shown that every conditional spreading sequence can be decomposed into two well behaved parts, one being unconditional and the other being convex block homogeneous, i.e. equivalent to its convex block sequences. This decomposition is then used to prove several results concerning the structure of spaces with conditional spreading bases as well as results in the theory of conditional spreading models. Among other things, it is shown that the space C(ÏÏ) is universal for all spreading models, i.e., it admits all spreading sequences, both conditional and unconditional, as spreading models. Moreover, every conditional spreading sequence is generated as a spreading model by a sequence in a space that is quasi-reflexive of order one.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 273, Issue 3, 1 August 2017, Pages 1205-1257
Journal: Journal of Functional Analysis - Volume 273, Issue 3, 1 August 2017, Pages 1205-1257
نویسندگان
Spiros A. Argyros, Pavlos Motakis, Bünyamin Sarı,