EQUIVALENCE OF n-NORMS ON THE SPACE OF p-SUMMABLE SEQUENCES
نویسندگان
چکیده
منابع مشابه
Two equivalent n-norms on the space of p-summable sequences
We prove the (strong) equivalence between two known n-norms on the space l of p-summable sequences (of real numbers). The first n-norm is derived from Gähler’s formula [2], while the second is due to Gunawan [6]. The equivalence is proved by using the properties of the volume of ndimensional parallelepipeds in l.
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ژورنال
عنوان ژورنال: Journal of the Indonesian Mathematical Society
سال: 2010
ISSN: 2460-0245,2086-8952
DOI: 10.22342/jims.16.1.27.1-7