On some normability conditions

Date

2005-01-01

Author

Terzioglu, T
Yurdakul, Murat Hayrettin
Zahariuta, V

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Various normability conditions of locally convex spaces (including Vogt interpolation classes DN phi and Omega phi as well as quasi- and asymptotic normability) are investigated. In particular, it is shown that on the class of Schwartz spaces the property of asymptotic normability coincides with the property GS, which is a natural generalization of Gelfand-Shilov countable normability (cf. [9, 25], where the metrizable case was treated). It is observed also that there are certain natural duality relationships among some of normability conditions. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Subject Keywords

Gelfand-Shilov property, Vogt interpolation classes, Asymptotic normability, Quasi-normability, Locally convex spaces

URI

https://hdl.handle.net/11511/32109

Journal

MATHEMATISCHE NACHRICHTEN

DOI

https://doi.org/10.1002/mana.200310336

Collections

Graduate School of Natural and Applied Sciences, Article

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Citation Formats

T. Terzioglu, M. H. Yurdakul, and V. Zahariuta, “On some normability conditions,” MATHEMATISCHE NACHRICHTEN, pp. 1714–1725, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32109.