A note on operators from K"{o}the function spaces to $c_0(Gamma)$
It is well known that every operator from $E = L_p$, $1 leq p <infty$ to $c_0$ is narrow. We show that this result can beextended to a more general class of K"{o}the function spaces$E$.
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2012-06-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/87/76 |
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Article |
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doaj-1393559d050b41f3a337cddab52cb02f2020-11-24T21:24:21ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272012-06-01416771A note on operators from K"{o}the function spaces to $c_0(Gamma)$Krasikova I.V.Popov M.M.It is well known that every operator from $E = L_p$, $1 leq p <infty$ to $c_0$ is narrow. We show that this result can beextended to a more general class of K"{o}the function spaces$E$.http://journals.pu.if.ua/index.php/cmp/article/view/87/76 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Krasikova I.V. Popov M.M. |
| spellingShingle |
Krasikova I.V. Popov M.M. A note on operators from K"{o}the function spaces to $c_0(Gamma)$ Karpatsʹkì Matematičnì Publìkacìï |
| author_facet |
Krasikova I.V. Popov M.M. |
| author_sort |
Krasikova I.V. |
| title |
A note on operators from K"{o}the function spaces to $c_0(Gamma)$ |
| title_short |
A note on operators from K"{o}the function spaces to $c_0(Gamma)$ |
| title_full |
A note on operators from K"{o}the function spaces to $c_0(Gamma)$ |
| title_fullStr |
A note on operators from K"{o}the function spaces to $c_0(Gamma)$ |
| title_full_unstemmed |
A note on operators from K"{o}the function spaces to $c_0(Gamma)$ |
| title_sort |
note on operators from k"{o}the function spaces to $c_0(gamma)$ |
| publisher |
Vasyl Stefanyk Precarpathian National University |
| series |
Karpatsʹkì Matematičnì Publìkacìï |
| issn |
2075-9827 |
| publishDate |
2012-06-01 |
| description |
It is well known that every operator from $E = L_p$, $1 leq p <infty$ to $c_0$ is narrow. We show that this result can beextended to a more general class of K"{o}the function spaces$E$. |
| url |
http://journals.pu.if.ua/index.php/cmp/article/view/87/76 |
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AT krasikovaiv anoteonoperatorsfromkothefunctionspacestoc0gamma AT popovmm anoteonoperatorsfromkothefunctionspacestoc0gamma AT krasikovaiv noteonoperatorsfromkothefunctionspacestoc0gamma AT popovmm noteonoperatorsfromkothefunctionspacestoc0gamma |
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