On the norm of the product of linear functionals
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- by C. Benítez, Manuel Fernández and María L. Soriano PDF
- Proc. Amer. Math. Soc. 127 (1999), 1437-1441 Request permission
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
- Dan Amir, Characterizations of inner product spaces, Operator Theory: Advances and Applications, vol. 20, Birkhäuser Verlag, Basel, 1986. MR 897527, DOI 10.1007/978-3-0348-5487-0
- Marco Baronti, On some parameters of normed spaces, Boll. Un. Mat. Ital. B (5) 18 (1981), no. 3, 1065–1085 (Italian, with English summary). MR 641756
- Garrett Birkhoff and Morgan Ward, A characterization of Boolean algebras, Ann. of Math. (2) 40 (1939), 609–610. MR 9, DOI 10.2307/1968945
- Garrett Birkhoff and Morgan Ward, A characterization of Boolean algebras, Ann. of Math. (2) 40 (1939), 609–610. MR 9, DOI 10.2307/1968945
Additional Information
- C. Benítez
- Affiliation: Departamento de Matemáticas, Universidad de Extremadura, 06071 Badajoz, Spain
- Email: cabero@unex.es
- Manuel Fernández
- Affiliation: Departamento de Matemáticas, Universidad de Extremadura, 06071 Badajoz, Spain
- María L. Soriano
- Affiliation: Departamento de Matemáticas, Universidad de Extremadura, 06071 Badajoz, Spain
- Received by editor(s): August 24, 1997
- Published electronically: January 29, 1999
- Communicated by: David R. Larson
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1437-1441
- MSC (1991): Primary 46C15, 46B20
- DOI: https://doi.org/10.1090/S0002-9939-99-04997-7
- MathSciNet review: 1622777