کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4622776 1339505 2006 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On extension of isometries between unit spheres of Lp(μ) and Lp(ν,H) (1<p≠2, H is a Hilbert space)
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On extension of isometries between unit spheres of Lp(μ) and Lp(ν,H) (1<p≠2, H is a Hilbert space)
چکیده انگلیسی

In this paper, we introduce a new class of mapping: p-affinely orthogonal mapping, obtain some relations with isometric mapping, give some sufficient conditions under which an isometric mapping from unit sphere of Lp(μ) into (or onto) that of another Banach space can be extended to be a linear isometry on the whole space, as well as show that any into (or onto) isometric mapping between the spheres of Lp(μ) and Lp(ν,H) (11) type spaces, Sci. China Ser. A 46 (3) (2003) 333–338] and [J. Wang, On extension of isometries between unit spheres of ALp-spaces (0

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 323, Issue 2, 15 November 2006, Pages 985-992