A Hilbert space characterization using a pair of decompositions

DOI10.1016/j.jfa.2020.108828zbMath1465.46026OpenAlexW3097061093MaRDI QIDQ2215823

Yanyan Li

Publication date: 14 December 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2020.108828

zbMATH Keywords

Hilbert spaceEuclidean spaceinner product space

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Isometric theory of Banach spaces (46B04) Quadratic and bilinear forms, inner products (15A63)

Cites Work

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• Polynomials and identities on real Banach spaces
• Banach spaces which satisfy linear identities
• Banach spaces with polynomial norms
• On the stability of functional equations and a problem of Ulam
• On the stability of functional equations in Banach spaces
• Characterizations of inner product spaces
• Banach space theory. The basis for linear and nonlinear analysis
• Quantum Theory for Mathematicians
• Smooth analysis in Banach spaces
• Stability of functional equations in several variables

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