Glasnik Matematicki, Vol. 39, No.2 (2004), 301-312.

BOUNDED 2-LINEAR OPERATORS ON 2-NORMED SETS

Zofia Lewandowska

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


Abstract.   In this paper properties of bounded 2-linear operators from a 2-normed set into a normed space are considered. The space of these operators is a Banach space and a symmetric 2-normed space. In the third part we will formulate Banach-Steinhaus Theorems for a family of bounded 2-linear operators from a 2-normed set into a Banach space.

2000 Mathematics Subject Classification.   46A32, 47B99.

Key words and phrases.   2-normed set, 2-normed space, bounded 2-linear operator, Banach-Steinhaus theorems.


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