Open AccessON QUASI *-BARRELLED SPACES
Author(s) -
S. G. Gayal
Publication year - 1990
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.21.1990.4680
Subject(s) - mathematics , space (punctuation) , regular polygon , class (philosophy) , pure mathematics , locally convex topological vector space , topological space , computer science , geometry , artificial intelligence , operating system
In this paper, a new class of .ocally convex spaces, called quasi *- barrelled spaces is introduced. These spaces are characterized by : A locally convex space $E$ is Quasi *-barrelled if every bornivorous *-barrel in $E$ is a neighbourhood of $O$ in $E$. This class of spaces is a generalization of quasi-barrelled spaces and *-barrelled spaces (K.Anjaneyulu; Gayal : Jour. Math. Phy. Sci. Madras, 1984). Some properties of quasi *-barrelled spaces are sturued. Lastly one example each of
(i) a quasi *-barrelled space which is not quasi-barrelled.
(ii) a quasi *-barrelled space which is not *-barrelled.
is given.