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All Journal Hilbert Journal of Mathematical Analysis Unnes Journal of Mathematics Education
Janny Lindiarni
Analysis and Geometri Group, Faculty of Mathematics and Natural Sciences Institute of Technology Bandung, Bandung 40132, Indonesia
Chemistry Control & Systems Engineering Education Engineering Mathematics Physics

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Journal : Hilbert Journal of Mathematical Analysis

 1 
Construction of a Banach algebra in summable infinite matrices and its realization of the Gelfand transformation Lindiarni, Janny; Setya Budhi, Wono
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.v1i2.11

Abstract

In this paper, we extend the construction of a Banach Algebra from summable sequences to summable matrices. We also find the representation of the Banach algebra as complex-valued continuous functions defined on a Hausdorff space.
On Invariant eigenvalues of Laplacian on complex star metric graphs Soeharyadi, Yudi; Lindiarni, Janny; Agustima, Pilipus Neri; Burhan, Mohammad Januar Ismail
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.v1i2.13

Abstract

In this article eigenvalues of Laplacian acting on complex star metric graphs is considered. The operator is coupled with Neumann-Kirchhoff vertex condition, implying self adjointness of the operator. We exhibit the invariance of the eigenvalues over the number of the bonds of the star metric graphs. Moreover, the eigenvalues are also invariant over parallel bonds of the star metric multigraphs.
Co-Authors Afgani, Rizal Agustima, Pilipus Neri Burhan, Moh. Januar Ismail Setya Budhi, Wono Yudi Soeharyadi Yuwono, Layli Rahmania