Glasnik Matematicki, Vol. 38, No.2 (2003), 329-340.

BANACH-STEINHAUS THEOREMS FOR BOUNDED LINEAR OPERATORS WITH VALUES IN A GENERALIZED 2-NORMED SPACE

Zofia Lewandowska

Department of Mathematics, Pedagogical University, Arciszewskiego 22b, PL-76-200 Slupsk, Poland
e-mail: lewandow@pap.edu.pl, Lewandowscy@rene.com.pl


Abstract.   In this paper we will prove Banach-Steinhaus theorems for some families of bounded linear operators from a normed space into a generalized 2-normed space.

2000 Mathematics Subject Classification.   46A99, 46A32.

Key words and phrases.   2-normed space, Banach-Steinhaus theorems, 2-norm in the space of linear operators.


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