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All Journal Epsilon: Jurnal Matematika Murni dan Terapan Journal of the Indonesian Mathematical Society BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Matematika UNAND Mathematics and Applications (MAp) Journal Jurnal Pengabdian Pada Masyarakat Education, Language, and Arts: Jurnal Pengabdian Kepada Masyarakat Madani: Multidisciplinary Scientific Journal Hilbert Journal of Mathematical Analysis As-Sulthan Journal of Education
Idris, Mochammad
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Journal : Hilbert Journal of Mathematical Analysis

 1 
A note on Euclidean spaces $\mathbb{R}^n$ and $n$-normed spaces Idris, Mochammad
Hilbert Journal of Mathematical Analysis Vol. 1 No. 2 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i2.9

Abstract

This article gives us a relation between Euclidean space $\mathbb{R}^n$ and a subspace of $X$ (an $n$-normed space) using properties of determinant of square matrices. Some functionals will be investigated on these spaces. Furthermore, we obtain definition of inner product and $m$-inner product with $m<n$ on the subspace of $X$.
An F-norm on sequences spaces Idris, Mochammad
Hilbert Journal of Mathematical Analysis Vol. 3 No. 1 (2024): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v3i1.39

Abstract

On sequences spaces, we can choose a Young function that plays a role in determining their norm structure. In this article, we modify the Young function by replacing its convexity property with concavity to define the F-norm in these spaces. Furthermore, we explore the properties of the modified Young function. Additionally, we investigate the completeness of the space, allowing it to be classified as an F-space (Frechet space).
Co-Authors Ahmad Taufik Alkatiri, Gina Amalia, Zharfa Rizqi Andriani, Asfia El-Yunusi, Muhammad Yusron Maulana Eridani, Eridani Faisal Faisal Gunawan, I Wayan Ari Hijriati, Naimah Lestia, Aprida Siska Lissa, Hermei Masnawati , Eli Mohammad Mahfuzh Shiddiq Muh Nur Pardi Affandi Saman Abdurrahman Solchan Ghozali Thresye Thresye