5 papers
Structure properties of Banach spaces of I-null sequences
Michael A. Rincón-Villamizar, Victor S. Ronchim, Carlos Uzcátegui Aylwin
We investigate structural properties of the ideal-null sequence spaces c_{0,I} and c_{0,I}(X), and of the quotient l_infty/c_{0,I}, emphasizing the interaction between Banach space…
Grothendieck ideals of
Michael Hrusák, Michael A. Rincón-Villamizar, Luis Sáenz +1
We answer several questions in the literature concerning the Grothendieck property of ideals of the Banach lattice that contain . Any such ideal can be represent…
On the complementation of spaces of -null sequences
Michael A. Rincón-Villamizar, Carlos Uzcátegui Aylwin
We study the complementation (in ) of the Banach space , consisting of all bounded sequences that -converge to , endowed wit…
Banach spaces of -convergent sequences
Michael A. Rincón-Villamizar, Carlos Uzcátegui Aylwin
We study the space of all bounded sequences that -converge to , endowed with the sup norm, where is an ideal of subsets of…
Almost Fraïssé Banach spaces
Valentin Ferenczi, Michael A. Rincón-Villamizar
Continuing with the study of Approximately ultrahomogeneous and Fraïssé Banach spaces introduced by V. Ferenczi, J. López-Abad, B. Mbombo and S. Todorcevic, we define formally weak…