Results 11 to 20 of about 327,876 (275)
Characterization of Inner Product Spaces [PDF]
International Journal of Applied and Computational Mathematics, 2015 We prove that the existence of best coapproximation to any element of the normed linear space out of any one dimensional subspace and its coincidence with the best approximation to that element out of that subspace characterizes a real inner product space of dimension $ > 2 $.
Sain, Debmalya +2 more
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Chebyshev-Steffensen Inequality Involving the Inner Product
Mathematics, 2022 In this paper, we prove the Chebyshev-Steffensen inequality involving the inner product on the real m-space. Some upper bounds for the weighted Chebyshev-Steffensen functional, as well as the Jensen-Steffensen functional involving the inner product under
Milica Klaričić Bakula +1 more
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Engineering and Technology Journal, 2010 we introduce the definition of afuzzy inner product space and discuss someproperties of this space,and we use the definition of fuzzy inner product space tointroduced anew definitions such that the definition of fuzzy Hilbert space ,Fuzzyconvergence ...
Jehad R.Kider, Ragahad Ibrahaim Sabre
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Product of Two Fuzzy Normed Spaces and its Completion [PDF]
Engineering and Technology Journal, 2012 The aim of this paper is to prove that the Cartesian product of two complete fuzzy normed space is again a complete fuzzy normed space. Also to prove that the Cartesian product of two complete fuzzy inner product spaces is a complete fuzzy inner product ...
Raghad Ibrahem.Sabre
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Numerical radius inequalities for Hilbert $C^*$-modules [PDF]
Mathematica Bohemica, 2022 We present a new method for studying the numerical radius of bounded operators on Hilbert $C^*$-modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable ...
Sadaf Fakri Moghaddam +1 more
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On the Semi-Group Property of the Perpendicular Bisector in a Normed Space
Axioms, 2022 Let (X,d) be a metric linear space and a∈X. The point a divides the space into three sets: Ha = {x ∈ X: d(0,x) < d(x,a)}, Ma = {x ∈ X: d(0,x) = d(x,a)} and La = {x ∈ X: d(0,x) > d(x,a)}. If the distance is generated by a norm, Ha is called the Leibnizian
Gheorghiță Zbăganu
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Bulletin of the Korean Mathematical Society, 2007 S. Vijayabalaji, N. Thillaigovindan
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, 1997 In making the definition of a vector space, we generalized the linear structure (addition and scalar multiplication) of R2 and R3.
Jin Ho Kwak, Sungpyo Hong
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Norms on Quotient Spaces of The 2-Inner Product Space
Contemporary Mathematics and Applications (ConMathA), 2021 This paper discussed about construction of some quotients spaces of the 2-inner product spaces. On those quotient spaces, we defined an inner product with respect to a linear independent set. These inner products was derived from the -inner product.
Harmanus Batkunde
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Formalization of Complex Analysis and Matrix Theory, 2020 Zhiping Shi, Yong Guan, Ximeng Li
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