کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844749 908612 2006 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rotundity properties in Banach spaces via sublinear operators
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Rotundity properties in Banach spaces via sublinear operators
چکیده انگلیسی

Conditions for extreme points, strongly extreme points, LUR-points, SU-points, points in direction of which the space is uniformly rotund and points with the Kadec–Klee property with respect to the convergence μμ-almost everywhere for the space DE(S)DE(S), generated by a Köthe space E and a sublinear operator S   defined on a linear space XX and with values in L0L0, are given. As corollaries, conditions for rotundity, midpoint local uniform rotundity, local uniform rotundity, uniform rotundity in every direction and the Kadec–Klee property for the convergence locally in measure of these spaces are deduced. Interpretations of the results in cases of Köthe–Bochner spaces, Cesáro–Orlicz spaces and K- interpolation spaces are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 64, Issue 6, 15 March 2006, Pages 1171–1188
نویسندگان
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