On some normability conditions

Warning The system is temporarily closed to updates for reporting purpose.

Terzioğlu, Tosun and Yurdakul, Murat and Zakharyuta, Vyacheslav (2005) On some normability conditions. Mathematische nachrichten, 278 (14). pp. 1714-1725. ISSN 0025-584X

[thumbnail of 3011800001134.pdf] PDF
3011800001134.pdf

Download (200kB)

Abstract

Various normability conditions of locally convex spaces (including Vogt interpolation classes DN and 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.
Item Type: Article
Uncontrolled Keywords: locally convex spaces; quasi-normability; asymptotic normability; Vogt interpolation classes; Gelfand-Shilov property
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Vyacheslav Zakharyuta
Date Deposited: 14 Oct 2005 03:00
Last Modified: 26 Apr 2022 08:07
URI: https://research.sabanciuniv.edu/id/eprint/426

Actions (login required)

View Item
View Item