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Title: On the quasi-equivalence of orthogonal bases in non-archimedean metrizable locally convex spaces
Authors: Śliwa, Wiesław
Keywords: Guasi-equivalence property
Non-archimedean Frechet spaces
Issue Date: 2002
Publisher: The Belgian Mathematical Society
Citation: Bull. Belg. Math. Soc. 9 (2002), 465-472.
Abstract: We 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.
Appears in Collections:Artykuły naukowe (WMiI)

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