A. Rashid

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Articles: 1

Some spectral results for certain positive operators in Hilbert spaces

Rashid A., P. Sam Johnson

↓ Abstract   |   Article (.pdf)

MFAT 32 (2026), no. 1, 84-96

84-96

This paper examines the spectral properties of specific classes of positive operators arising from matrices associated with the linear complementarity problem. Such operators occupy a central position in diverse domains of mathematics and physics, including operator theory, functional analysis, and quantum mechanics. A thorough understanding of their spectral behavior is fundamental for exploring the dynamics and stability of systems governed by these operators. P-matrix is one of the important types of matrices appearing in linear complementarity problems. In this paper, with the help of spectral results we have given a factorization for P-matrices, as the product of two non-trivial P-matrices. We also focus on elucidating spectral properties such as eigenvalues, approximate eigenvalues and spectral values associated with certain positive operators.


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