Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal AL-ULUM: JURNAL SAINS DAN TEKNOLOGI
Lucien Tebua Limalo Koto
Preparatory section, Higher Institute of Applied Technics of Kinshasa, Democratic Republic of Congo
Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Decision Sciences, Operations Research & Management Energy

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
ON HILBERT-SCHMIDT OPERATORS BETWEEN NON-SEPARABLE HILBERT SPACES Lucien Tebua Limalo Koto; Nestor Anzola Kibamba; Fidele Balibuno Luganda; Joseph-Desiré Bukweli Kyemba; Alain Musesa Landa
AL-ULUM: JURNAL SAINS DAN TEKNOLOGI Vol 12 No 2 (2026)
Publisher : UPT Publication and Journal Management, Islamic University of Kalimantan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31602/jst.v12i2.22813

Abstract

We first study Hilbert–Schmidt operators between non-separable Hilbert spaces. We employ concepts such as summable families in normed spaces, the packet summation theorem, and Hilbert bases. We define Hilbert–Schmidt operators and investigate the structure of the Hilbert space (HS(X,Y)), establishing its relationship with the spaces of compact operators (CO(X,Y)), finite-rank operators (F_i(X,Y)), and continuous linear operators (LC(X,Y)). We then consider particular classes of Hilbert–Schmidt operators on the space of almost periodic functions  where. Finally, we establish a spectral representation theorem for compact Hermitian operators on non-separable Hilbert spaces, extending the well-known result for separable Hilbert spaces.
Co-Authors Alain Musesa Landa Fidele Balibuno Luganda Joseph-Desiré Bukweli Kyemba Nestor Anzola Kibamba