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Zeros of quadratic functionals on non-separable spaces

Volume 100 / 2004

T. Banakh, A. Plichko, A. Zagorodnyuk Colloquium Mathematicum 100 (2004), 141-147 MSC: Primary 46B28; Secondary 46B04. DOI: 10.4064/cm100-1-13

Abstract

We construct non-separable subspaces in the kernel of every quadratic functional on some classes of complex and real Banach spaces.

Authors

  • T. BanakhDepartment of Mechanics and Mathematics
    Ivan Franko Lviv National University
    Lviv 79000, Ukraine
    and
    Institute of Mathematics
    Świ/etokrzyska Academy
    Kielce, Poland
    e-mail
  • A. PlichkoDepartment of Mathematics
    Kirovograd State Pedagogical University
    1, Shevchenko St.
    Kirovograd 25006, Ukraine
    and
    Institute of Mathematics
    Cracow University of Technology
    Warszawska 24
    31-155 Kraków, Poland
    e-mail
  • A. ZagorodnyukInstitute for Applied Problems of
    Mechanics and Mathematics of NASU
    3 b, Naukova St.
    Lviv, 79601 Ukraine
    and
    University of Saskatchewan
    Saskatoon SK S7N 5E6
    Canada
    e-mail

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