Authors
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Tyas Rangga Kristiantoo
Department of Mathematics, Bandung Institute of Technology, Bandung, Indonesia
Author
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Raden Akbar Wibawa-Kusumah
Department of Mathematics, Bandung Institute of Technology, Bandung, Indonesia
Author
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Hendra Gunawan
Department of Mathematics, Institut Teknologi Bandung, Bandung, Indonesia
Author
Keywords:
-normed spaces, equivalence relations
Subjects:
46B05, 46B20, 46A99, 46B99
Abstract
A vector space can be equipped with more than one -norm. In such a case, an equivalencerelation of -norms is usually studied. Here we discuss andpresent some results on several equivalence relations of -normswhich may be defined on a vector space. In particular, our resultscorrect an error that we found in B.S. Reddy, H. Dutta, [Onequivalence of -norms in -normed spaces, preprint, {http://www.akamaiuniversity.us/PJST11\_1\_233.pdf}, March 7,2011]. We also discuss an equivalence relation of -norms on finite dimensional spaces.