A note on operators from Köthe function spaces to $c_0(\Gamma)$

  • I.V. Krasikova Zaporizhzhya National University, 66 Zukovs'koho str., 69600, Zaporizhzhya, Ukraine
  • M.M. Popov Yuriy Fedkovych Chernivtsi National University, 2 Kotsjubynskyi str., 58012, Chernivtsi, Ukraine
Keywords: Köthe space, narrow operator, codimension of a subspace, weakly compact set, boundary point of a set
Published online: 2012-06-28

Abstract


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 be extended to a more general class of Köthe function spaces $E$.

How to Cite
(1)
KrasikovaI., PopovM. A Note on Operators from Köthe Function Spaces to $c_0(\Gamma)$. Carpathian Math. Publ. 2012, 4 (1), 67-71.

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