Two mappings related to semi-inner products and their applications in geometry of normed linear spaces

DOI10.1023/A:1022268627299zbMath0996.46007OpenAlexW1968825347MaRDI QIDQ700932

J. J. Koliha, Sever Silvestru Dragomir

Publication date: 15 October 2002

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33064

zbMATH Keywords

semi-inner productSchwarz inequalityBirkhoff orthogonalitysmooth normed spacesbest approximantslower and upper semi-inner product

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20)

Related Items

The \(p\)-\(HH\) norms on Cartesian powers and sequence spaces, Cassini curves in normed planes, Orthogonalities, linear operators, and characterization of inner product spaces, On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces, Some remarks on Birkhoff-James orthogonality of linear operators, Some inequalities of Jensen's type for Lipschitzian maps between Banach spaces, $C^{*}$-semi-inner product spaces

Cites Work

• The mapping \(\gamma_{x,y}\) in normed linear spaces and applications
• The mapping \(\nu_{x,y}\) in normed linear spaces with applications to inequalities in analysis
• Characterizations of inner product spaces
• Semi-Inner-Product Spaces
• Characterizations of proximinal, semichebychevian and chebychevian subspaces in real normed spaces
• The mapping Ψ^p_x,y in normed linear spaces and its applications in the theory of inequalities
• Classes of Semi-Inner-Product Spaces
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