3 papers
math.FA2025
Descriptive set theory of separable Fréchet spaces
Bruno de Mendonça Braga, Willian Hans Goes Corrêa, Valentin Ferenczi
In the past few decades, much has been done regarding the descriptive set theory of separable Banach spaces. However, the descriptive properties of separable Fréchet spaces have no…
math.FA2024
Extremes of interpolation scales of Banach spaces
Willian Corrêa, Valentin Ferenczi, Rafela Gesing +1
M. Daher gave conditions so that the spheres of the spaces in the interior of a complex interpolation scale are uniformly homeomorphic. We look for sufficient conditions for the va…
math.FA2021
Interpolator symmetries and new Kalton-Peck spaces
Jesús M. F. Castillo, Willian H. G. Correa, Valentin Ferenczi +1
Diagrams generated by three interpolators in an abstract Kalton-Montgomery complex like interpolation scheme. We will consider in detail the case of the first three Schechter inter…