Geodesic
A note on some complemented spaces of operators
Ioana Ghenciu1
1Mathematics 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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

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. 
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
@article{10_4064_cm6977_11_2016,
     author = {Ioana Ghenciu},
     title = {A note on some complemented spaces of operators},
     journal = {Colloquium Mathematicum},
     pages = {207--215},
     year = {2017},
     volume = {150},
     number = {2},
     doi = {10.4064/cm6977-11-2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6977-11-2016/}
}
TY  - JOUR
AU  - Ioana Ghenciu
TI  - A note on some complemented spaces of operators
JO  - Colloquium Mathematicum
PY  - 2017
SP  - 207
EP  - 215
VL  - 150
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm6977-11-2016/
DO  - 10.4064/cm6977-11-2016
LA  - en
ID  - 10_4064_cm6977_11_2016
ER  - 
%0 Journal Article
%A Ioana Ghenciu
%T A note on some complemented spaces of operators
%J Colloquium Mathematicum
%D 2017
%P 207-215
%V 150
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm6977-11-2016/
%R 10.4064/cm6977-11-2016
%G en
%F 10_4064_cm6977_11_2016

Cité par Sources :