RUANG LEBESGUE Lp ([0, 1], A, µ) SEBAGAI RUANG NORM-2 UNTUK 1 ≤ p < ∞

Authors

  • Fajri Oktariadi
  • Shelvi Ekariani
  • Haripamyu Haripamyu

DOI:

https://doi.org/10.25077/jmu.8.1.144-149.2019

Abstract

Misalkan [0, 1] ⊆ R suatu himpunan tak kosong, A adalah suatu sigma aljabar dan µ adalah ukuran pada [0, 1]. Misalkan ([0, 1], A, µ) adalah ruang ukuran yang memiliki sekurang-kurangnya n subhimpunan yang saling lepas dengan ukuran positif. Tulisan ini bertujuan menunjukkan ruang Lebesgue L p ([0, 1], A, µ), untuk 1 ≤ p < ∞ dapat dilengkapi dengan norm-2 sehingga L p ([0, 1], A, µ) merupakan ruang norm-2.

Diterima: Direvisi: Dipublikasikan :

Kata Kunci: Ukuran,Norm-2

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Published

05-07-2019

Issue

Vol. 8 No. 1 (2019)

Section

Articles

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