Some extensions of a dual of the Hahn-Banach Theorem, with applications to separation and Helly type theorems
نویسندگان
چکیده
منابع مشابه
extensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
The Hahn-banach Separation Theorem and Other Separation Results
This paper will introduce and prove several theorems involving the separation of convex sets by hyperplanes, along with other interesting related results. It will begin with some basic separation results in Rn, such as the Hyperplane Separation Theorem of Hermann Minkowski, and then it will focus on and prove the extension of this theorem into normed vector spaces, known as the Hahn-Banach Sepa...
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We give the basic de nitions for pointfree functional analysis and present constructive proofs of the Alaoglu and Hahn Banach theorems in the set ting of formal topology Introduction We present the basic concepts and de nitions needed in a pointfree approach to functional analysis via formal topology Our main results are the constructive proofs of localic formulations of the Alaoglu and Helly H...
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In this paper, a fuzzy version of the analytic form of Hahn-Banachextension theorem is given. As application, the Hahn-Banach theorem for$r$-fuzzy bounded linear functionals on $r$-fuzzy normedlinear spaces is obtained.
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1976
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700022644