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dc.contributor.authorŚliwa, Wiesław-
dc.identifier.citationBull. Belg. Math. Soc. 9 (2002), 465-472.pl_PL
dc.description.abstractWe prove that any non-archimedean metrizable locally convex space E with a regular orthogonal basis has the quasi-equivalence property, i.e. any two orthogonal bases in E are quasi-equivalent. In particular, the power series spaces, the most known and important examples of non-archimedean nuclear Frechet spaces, have the quasi-equivalence property. We also show that the Frechet spaces: K^N, c_0xK^N, c_0^N have the quasi-equivalence property.pl_PL
dc.publisherThe Belgian Mathematical Societypl_PL
dc.subjectGuasi-equivalence propertypl_PL
dc.subjectNon-archimedean Frechet spacespl_PL
dc.titleOn the quasi-equivalence of orthogonal bases in non-archimedean metrizable locally convex spacespl_PL
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