کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4602601 | 1631171 | 2008 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the extremal structure of least upper bound norms and their dual
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Given finite dimensional real or complex Banach spaces, E and F, with norms ν:E→R and μ:F→R, we denote by Nμν the least upper bound norm induced on L(E,F). Some results are given on the extremal structures of B, the unit ball of Nμν, of its polar B°, and of B′, which is the polar of the unit ball of the least upper bound norm Nμ°ν°.The exposed faces, the extreme points, and a large family of other faces of B° and B′ are presented. It turns out that B′ is a subset of B; the set of tangency points of the surfaces of B and B′ is completely determined and represented as the union of the exposed faces of B′ which are normal to rank-one mappings. We determine sharp bounds on the ranks of mappings in these exposed faces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issues 8–9, 15 April 2008, Pages 1928-1938
Journal: Linear Algebra and its Applications - Volume 428, Issues 8–9, 15 April 2008, Pages 1928-1938