Rectangular modulus and geometric properties of normed spaces.
Serb, Ioan (1999)
Mathematica Pannonica
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Serb, Ioan (1999)
Mathematica Pannonica
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Şerb, Ioan (2001)
Mathematica Pannonica
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Carlos Benítez Rodríguez (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Orthogonality in inner products is a binary relation that can be expressed in many ways without explicit mention to the inner product of the space. Great part of such definitions have also sense in normed linear spaces. This simple observation is at the base of many concepts of orthogonality in these more general structures. Various authors introduced such concepts over the last fifty years, although the origins of some of the most interesting results that can be obtained for these generalized...
Manuel Fernández, Isidro Palacios (1995)
Extracta Mathematicae
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Manuel Fernández, Isidro Palacios (1995)
Extracta Mathematicae
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Yunbai Dong, Qingjin Cheng (2013)
Studia Mathematica
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Let 𝓐 be a compatible collection of bounded subsets in a normed linear space. We give a characterization of the following generalized Mazur intersection property: every closed convex set A ∈ 𝓐 is an intersection of balls.
Mohamed Akkouchi, Hassan Sadiky (1993)
Extracta Mathematicae
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R. M. Aron and R. H. Lohman introduced, in [1], the notion of lambda-property in a normed space and calculated the lambda-function for some classical normed spaces. In this paper we give some more general remarks on this lambda-property and compute the lambda-function of other normed spaces, namely: B(S,∑,X) and M(E).
MANUEL FERNÁNDEZ and MARÍA L. SORIANO CARLOS BENÍTEZ (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Javier Alonso, Carlos Benítez (1989)
Extracta Mathematicae
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C.-S. Lin (2005)
Colloquium Mathematicae
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We first introduce a notion of (a,b,c,d)-orthogonality in a normed linear space, which is a natural generalization of the classical isosceles and Pythagorean orthogonalities, and well known α- and (α,β)-orthogonalities. Then we characterize inner product spaces in several ways, among others, in terms of one orthogonality implying another orthogonality.
Nilsrakoo, Weerayuth, Saejung, Satit (2006)
Journal of Inequalities and Applications [electronic only]
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