3 papers
math.FA2018
Josefson-Nissenzweig property for -spaces
T. Banakh, J. Kąkol, W. Śliwa
The famous Rosenthal-Lacey theorem asserts that for each infinite compact space the Banach space admits a quotient which is either a copy of or . The a…
math.GN2018
Metrizable quotients of -spaces
T. Banakh, J. Kąkol, W. Śliwa
The famous Rosenthal-Lacey theorem asserts that for each infinite compact set the Banach space admits a quotient which is either a copy of or . What is the…
math.FA2017
On the separable quotient problem for Banach spaces
J. C. Ferrando, J. Kakol, M. Lopez-Pellicer +1
While the classic separable quotient problem remains open, we survey general results related to this problem and examine the existence of a particular infinitedimensional separable…