A note on the Mackey-star topology on a dual Banach space

Autores UPV
Revista Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas


By using a result in Kirk (Pac J Math 45:543¿554, 1973), we show that there are separable Banach spaces such that their dual spaces, endowed with the Mackey-star topology, are not analytic. This solves a question raised in Kakol et al. (Descriptive topology in selected topics of functional analysis, Springer, 2011), and in Kakol and López-Pellicer (RACSAM 105:39¿70, 2011).