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On quadratic functionals and some properties of Hamel bases

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Publication:1263018
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DOI10.1016/0022-247X(90)90430-NzbMath0687.39005MaRDI QIDQ1263018

Harry I. Miller, Zbigniew Gajda

Publication date: 1990

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


zbMATH Keywords

Hamel basissecond categoryquadratic functionalcontinuum hypothesisCauchy functional equationBaire set


Mathematics Subject Classification ID

Descriptive set theory (03E15) Continuum hypothesis and Martin's axiom (03E50) Functional equations and inequalities (39B99)




Cites Work

  • On some properties of Hamel bases connected with the continuity of polynomial functions
  • Some remarks on the convergence of functionals on bases
  • On the sum and difference of two sets in topological vector spaces
  • Convex functions of higher orders in Euclidean spaces
  • Measure and other properties of a Hamel basis
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