6533b7d4fe1ef96bd1261d88

RESEARCH PRODUCT

Injective spaces of real-valued functions with the baire property

C. IvorraJose L. Blasco

subject

Discrete mathematicsMathematics::Functional AnalysisFréchet spaceGeneral MathematicsTopological tensor productMathematics::General TopologyInterpolation spaceBaire category theoremOpen mapping theorem (functional analysis)Baire measureTopological vector spaceComplete metric spaceMathematics

description

Generalizing the technique used by S.A. Argyros in [3], we give a lemma from which certain Banach spaces are shown to be non-injective. This is applied mainly to study the injectivity of spaces of real-valued Borel functions and functions with the Baire property on a topological space. The results obtained in this way do not follow from previous works about this matter.

yearjournalcountryeditionlanguage
1995-10-01Israel Journal of Mathematics
https://doi.org/10.1007/bf02761655