Two equivalent 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: Periodica Mathematica Hungarica
سال: 2013
ISSN: 0031-5303,1588-2829
DOI: 10.1007/s10998-013-6129-4