Inner product space and circle power

• Autores: Damjan Kobal
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 81, Fasc. 1-2, 2012, págs. 1-10
• Idioma: inglés
• DOI: 10.5486/pmd.2012.4713
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• Resumen

  • In this paper we present a norm equality which, in its most general form with a free parameter, characterizes an inner-product space with no use of triangle inequality and homogenity. For any given xed parameter the equality characterizes an inner-product space with no use of triangle inequality. The proof of the main theorem reduces to the consideration of the system of functional equations