Automatic boundedness of affine functions

• Autores: Jirí Spurný
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 35, Nº 2, 2009, págs. 553-561
• Idioma: inglés
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• Resumen

  • Let f be an affine function on a compact convex set X. We prove that f is bounded provided f has the restricted Baire property on X or is universally Radon measurable on X. We also show that the result of J.P.R. Christensen on weak* universally Baire measurable functionals on spaces of measurable functions can be strengthened for functionals with the restricted Baire property..