MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
2-nsr lemma and quotient space in 2-normed space
P. Riyas and K. T. Ravindran

Abstract

In this paper we discuss properties of compactness and compact operator on $2$-normed space. Also we consider a result which is similar to Riesz Lemma and its applications in $2$-normed space. We introduce quotient space from the finite dimensional subspace of a $2$-normed space.

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Keywords: $2$-normed space, locally bounded, compact operator, Riesz Lemma, $e$-bounded operator.

MSC: 41A65, 41A15

Pages:  1$-$6     

Volume  63 ,  Issue  1 ,  2011