Some remarkable lines of triangles in real normed spaces and characterizations of inner product structures |
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| Authors: | Claudi Alsina Piedad Guijarro Maria S Tomás |
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| Institution: | (1) Secció de Matemàtiques, ETSAB, Univ. Politècnica Catalunya, Diagonal 649, E-08028 Barcelona, Spain |
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| Abstract: | Summary In this work we consider the heights and the bisectrices of a triangle in a real normed space. Using well-known formulas which
can be generalized to real normed spaces we obtain a collection of new characterizations of inner product spaces. |
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| Keywords: | Primary 39B05 39B52 Secondary 46C99 |
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