Geodesic
A note on some complemented spaces of operators
Ioana Ghenciu 1
1 Mathematics Department University of Wisconsin-River Falls 410 S. 3rd Street River Falls, WI 54022-500, U.S.A.
Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 207-215 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\mathit {CC}(X,Y)$.
DOI : 10.4064/cm6977-11-2016
Keywords: mathit pwc mathit mathit denote respectively sets weakly compact pseudo weakly compact completely continuous unconditionally converging operators classical results kalton study complementability space spaces mathit pwc mathit mathit

Ioana Ghenciu  1

1 Mathematics Department University of Wisconsin-River Falls 410 S. 3rd Street River Falls, WI 54022-500, U.S.A. 
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Ioana Ghenciu. A note on some complemented spaces of operators. Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 207-215. doi: 10.4064/cm6977-11-2016

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