A note on some complemented spaces of operators
Tom 150 / 2017
Colloquium Mathematicum 150 (2017), 207-215
MSC: Primary 46B20, 46B25, 46B28; Secondary 47L20.
DOI: 10.4064/cm6977-11-2016
Opublikowany online: 24 July 2017
Streszczenie
Let $W(X,Y)$, $\mathit {Pwc}(X,Y)$, $\mathit {CC}(X,Y)$, and $\mathit {UC}(X,Y)$ denote respectively the sets of all weakly compact, pseudo weakly compact, completely continuous, and unconditionally converging operators from $X$ to $Y$. We use classical results of Kalton to study the complementability of the space $W(X,Y)$ in the spaces $\mathit {Pwc}(X,Y)$, $\mathit {UC}(X,Y)$, and $\mathit {CC}(X,Y)$.
