On two results of J. Dugundji about extensions of maps and retractions

H. Steinlein
1979 Proceedings of the American Mathematical Society  
Key words and phrases. Tietze-Dugundji extension theorem, retract, fixed point property. 'One should recall that it is easy to prove the existence of such a space L: Any unbounded real-valued function on a normalized Hamel basis of L uniquely determines an unbounded linear functional / on L. Then L' '-[kernel of /] is not closed and codim L' = 1, and hence V is dense.
doi:10.1090/s0002-9939-1979-0542099-7 fatcat:hsqi2toabzaejmq56bgqlxjlp4