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Characterization of real inner product spaces by means of symmetric bilinear forms

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Publication:1322321
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DOI10.1006/jmaa.1993.1396zbMath0791.46015OpenAlexW2050512396MaRDI QIDQ1322321

Carlos Benítez, Yannis Sarantopoulos

Publication date: 5 May 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1396


zbMATH Keywords

inner product spacenorm of any continuous symmetric bilinear formnorm of the associated homogeneous polynomial


Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15)


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Nonlinear Aspects of Certain Linear Phenomena in Banach Spaces ⋮ Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ Polarization constant for the numerical radius ⋮ Symmetric multilinear forms on Hilbert spaces: where do they attain their norm? ⋮ Geometry of spaces of polynomials ⋮ Homogeneous polynomials and extensions of Hardy-Hilbert's inequality ⋮ The polarization constant of finite dimensional complex spaces is one



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