On mutual orthogonality of classes of thespaces CP(X) and LP(Y) | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2012. № 1(17).

HomeIssuesOn mutual orthogonality of classes of thespaces CP(X) and LP(Y) | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2012. № 1(17).

On mutual orthogonality of classes of thespaces CP(X) and LP(Y)

In this article, it is proved that none of the infinitedimensionalspaces Cp(X), Lp(Y), or a normed space E can be embedded as a complementablesubspace into another by a linear homeomorphism.

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Keywords

пространство непрерывных функций, линейное гомеоморфное вложение, дополняемое подпространство, space of continuous functions, linear homeomorphic embedding, complementable subspac

Authors

NameOrganizationE-mail
Gulko Sergey PorfiryevichNational Research Tomsk State Universitygulko@math.tsu.ru, spg@mail.tsu.ru
Lazarev Vadim RemirovichNational Research Tomsk State Universitylazarev@math.tsu.ru
Khmyleva Tatyana EvgenievnaNational Research Tomsk State Universityvestnik_tgu_mm@math.tsu.ru
Всего: 3

References

On mutual orthogonality of classes of thespaces <i>CP</i>(<i>X</i>) and <i>LP</i>(<i>Y</i>) | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2012. № 1(17).

On mutual orthogonality of classes of thespaces CP(X) and LP(Y) | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2012. № 1(17).

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