Ruang l^p pada Norm-2 Lengkap

نویسندگان

چکیده

The space l^p with 1≤p∞ is the set of real numbers that satisfy _(n=1)^∞▒〖|x_n |^p∞〗.The function in vector X which has value fulfills norm-2 properties denoted by ,⋅‖ and pair (X,‖⋅,⋅‖) called space.A said to be complete or a Banach-2 if every Cauchy sequence converges an element space.This research was conducted prove norm-2.The first step completeness norm contained satisfies norm-2.Next, derived from equivalent l^p.Next shows l^p.Based on this proof, it found (l^p,‖⋅,⋅‖) space.

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ژورنال

عنوان ژورنال: Jurnal Riset Mahasiswa Matematika

سال: 2022

ISSN: ['2808-4926', '2808-1552']

DOI: https://doi.org/10.18860/jrmm.v1i4.14464