6533b824fe1ef96bd12812ef

RESEARCH PRODUCT

σ-Slicely Continuous Maps

Stanimir TroyanskiManuel ValdiviaAníbal MoltóJosé Orihuela

subject

Pure mathematicsNormed algebraContinuous mapBanach latticeNorm (mathematics)Banach spaceTopological vector spaceMathematicsNormed vector space

description

All examples of σ-slicely continuous maps are connected somehow with LUR Banach spaces. It is clear that if x is a denting point of a set D and Φ is a norm continuous map at x then Φ is slicely continuous at x. Hence if X is a LUR normed space then every norm continuous map Φ on B X is slicely continuous on S X .

yearjournalcountryeditionlanguage
2009-01-01
https://doi.org/10.1007/978-3-540-85031-1_4