The existence of linear selection and the quotient lifting property
Lifting properties for Banach spaces are studied. An alternate version of the lifting property due to Lindenstrass and Tzafriri leads to a new geometric property called the quotient lifting property for pairs of Banach spaces (X, J), with J proximinal in X. Several necessary and sufficient conditions for the property to hold are given.
Indian Journal of Pure and Applied Mathematics
Monika., Botelho, F., & Fleming, R. (2021). The existence of linear selection and the quotient lifting property. Indian Journal of Pure and Applied Mathematics https://doi.org/10.1007/s13226-021-00171-z