کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416875 1336897 2011 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spaceability in Banach and quasi-Banach sequence spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Spaceability in Banach and quasi-Banach sequence spaces
چکیده انگلیسی

Let X be a Banach space. We prove that, for a large class of Banach or quasi-Banach spaces E of X-valued sequences, the sets E-⋃q∈Γℓq(X), where Γ is any subset of (0,∞], and E-c0(X) contain closed infinite-dimensional subspaces of E (if non-empty, of course). This result is applied in several particular cases and it is also shown that the same technique can be used to improve a result on the existence of spaces formed by norm-attaining linear operators.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 434, Issue 5, 1 March 2011, Pages 1255-1260
نویسندگان
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