کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416298 1631127 2015 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ordered vector spaces
ترجمه فارسی عنوان
فضاهای بردار مرتب شده
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

This work was motivated by Problem 49-4 from “IMAGE” Issue Number 49, p. 52, Fall 2012 which was proposed by Rajesh Pereira. Seeking the solution to the problem led to the discovery of some interesting results on ordered vector spaces.It is shown that up to an isomorphism, there is only one order on a finite dimensional real vector space of dimension greater than or equal to 2, namely a lexicographic order on the coefficient vectors with respect to certain special bases. These special bases are called non-Archimedean bases. By examining linear preservers on an ordered vector space a solution to problem 49-4 is found as a by-product.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 468, 1 March 2015, Pages 171-183
نویسندگان
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