DOAJ Open Access 2025

Spectral analysis of second order quantum difference operator over the sequence space lp (1 < p < ∞)

N. Kalita A.J. Dutta

Abstrak

In this article, we study the spectrum, fine spectrum and boundedness property of second order quantum difference operator ∆2q (0 < q < 1) over the class of sequence lp (1 < p < ∞), the pth summable sequence space. The second order quantum difference operator ∆2q is a lower triangular triple band matrix ∆2q(1,−(1+ q),q). We also determine the approximate point spectrum, defect spectrum, compression spectrum, and Goldberg classification of the operator on the class of sequence. We obtained the results by solving an infinite system of linear equations and computing the inverse of a lower triangular infinite matrix. We also provide appropriate examples along with graphical representations where necessary.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

N. Kalita

A.J. Dutta

Format Sitasi

APA MLA BibTeX

Kalita, N., Dutta, A. (2025). Spectral analysis of second order quantum difference operator over the sequence space lp (1 < p < ∞). https://doi.org/10.31489/2025m2/122-136

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.31489/2025m2/122-136
Akses: Open Access ✓