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On the norm of the product of linear functionals

Author(s): C. Benítez; Manuel Fernández; María L. Soriano
Journal: Proc. Amer. Math. Soc. 127 (1999), 1437-1441.
MSC (1991): Primary 46C15, 46B20
Posted: January 29, 1999
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Abstract | References | Similar articles | Additional information

Abstract: Real inner product spaces are characterized by the points at which the homogeneous 2-polynomials that are products of equal-norm linear functionals attain their norm.

References:

1.: D. AMIR, ``Characterizations of inner product spaces", Birkhauser Verlag, Basel, 1986. MR 88m:46001
2.: M. BARONTI, Su alcuni parametri degli espazi normati, Bol. Unione Mat. Ital., B(5) 18 (1981), 1065-1085.MR 83b:46017
3.: M.M. DAY, Some characterizations of inner product spaces, Trans. Amer. Math. Soc., 62 (1947), 320-337. MR 9:192c
4.: R.C. JAMES, Inner products in normed linear spaces, Bull. Amer. Math. Soc., 53 (1947), 559-566. MR 9:42d


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