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On parallelogram areas in normed linear spaces

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Summary.

Various definitions of parallelogram areas in real normed linear spaces are considered and new characterizations of real inner product spaces are obtained.

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Authors and Affiliations

  1. Secció de Matemàtiques, ETSAB, Univ. Politécnica Catalunya, Diagonal 649, E–08028, Barcelona, Spain

    Claudi Alsina & Maria Santos Tomás

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  1. Claudi Alsina
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  2. Maria Santos Tomás
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Correspondence to Claudi Alsina.

Additional information

Manuscript received: February 16, 2005 and, in final form, April 27, 2005.

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Alsina, C., Tomás, M.S. On parallelogram areas in normed linear spaces. Aequ. math. 72, 234–242 (2006). https://doi.org/10.1007/s00010-005-2814-6

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  • DOI: https://doi.org/10.1007/s00010-005-2814-6

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