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Extension of bounded linear functionals and best approximation in spaces with asymmetric norm
Journal of Numerical Analysis and Approximation Theory, 2004 The present paper is concerned with the characterization of the elements of best approximation in a subspace \(Y\) of a space with asymmetric norm, in terms of some linear functionals vanishing on \(Y\).
Ş. Cobzaş, C. Mustăţa
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Journal of Numerical Analysis and Approximation Theory, 2003 A well known result of R. R. Phelps (1960) asserts that in order that every linear continuous functional, defined on a subspace \(Y\) of a real normed space \(X\), have a unique norm preserving extension it is necessary and sufficient that its ...
Costică Mustăţa
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Functional Analysis in Asymmetric Normed Spaces [PDF]
, 2012 S. Cobzas
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Two Mappings Related To Semi-Inner Products And Their Applications in Geometry of Normed Linear Spaces [PDF]
, 1998 In this paper we introduce two mappings associated with the lower and upper semiinner product (.,.)i and (.,.)s and with semi-inner products [.,.] (in the sense of Lumer) which generate the norm of a real normed linear space, and study properties of ...
Koliha, Jerry J, Dragomir, Sever S
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On New Notions of Orthogonality in Normed Spaces via the 2-HH-Norms [PDF]
, 2009 Kikianty and Dragomir in 2008 introduced the p-HH-norms on the Cartesian product of two copies of a normed space, which are equivalent to the well-known p-norms. In this paper, notions of orthogonality in terms of 2-HH-norms are introduced.
Dragomir, Sever S, Kikianty, Eder
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A Lower Bound for Continuous Convex Mappings on Normed Linear Spaces [PDF]
, 1998 A lower bound for continuous convex mappings defined on normed linear spaces in terms of norm derivatives and best approximants is ...
Dragomir, Sever S
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A Survey of Recent Reverses for the Generalised Triangle Inequality in Normed Spaces [PDF]
, 2004 Recent reverses of the generalised triangle inequality in normed linear spaces that complement the classical results of Diaz and Metcalf are ...
Dragomir, Sever S
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Stability of mappings on multi-normed spaces [PDF]
, 2007 In this paper, we define multi-normed spaces, and investigate some properties of multi-bounded mappings on multi-normed spaces. Moreover, we prove a generalized Hyers–Ulam–Rassias stability theorem associated to the Cauchy additive equation for mappings ...
Dales, H.G., Moslehian, Mohammad Sal
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Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]
, 2010 The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Rahmat, Mohamad Rafi Segi +1 more
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Extreme points and geometric aspects of compact convex sets in asymmetric normed spaces [PDF]
, 2014 Inspired in the theorem of Krein-Milamn, we investigate the existence of extreme points in compact convex subsets of asymmetric normed spaces. We focus our attention in the finite dimensional case, giving a geometric description of all compact convex ...
Natalia Jonard-P'erez +1 more
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