7 citations · 9 across the 5 of their papers we have counts for
5 papers · 1 filter
Dunford--Pettis type properties and the Grothendieck property for function spaces
Saak Gabriyelyan, Jerzy Kcakol
For a Tychonoff space , let and be the spaces of real-valued continuous functions on endowed with the compact-open topology and the pointwise topolo…
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…
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…
Free locally convex spaces with a small base
Saak Gabriyelyan, Jerzy Kakol
The paper studies the free locally convex space over a Tychonoff space . Since for infinite the space is never metrizable (even not Fréchet-Urysohn), a possibl…
The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces
S. Gabriyelyan, J. Kakol, G. Plebanek
Following [3] we say that a Tychonoff space is an Ascoli space if every compact subset of is evenly continuous; this notion is closely related to the cla…