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Determinant Spectrum of Diagonal Block Matrix

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Title: Determinant Spectrum of Diagonal Block Matrix

Authors: Elif OTKUN CEVIK, Zameddin I. ISMAILOV

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2021

Volume: 17

Issue: 1

Language: English

Keywords: determinant spectrumdiagonal block matrix

Categories
Matrix Theory (13) Eigenvalues (7) Linear Algebra (42) Numerical Analysis (431) Mathematics (5170)

Abstract

It is known that in mathematical literature one of important questions of spectral theory of operators is to describe spectrum of diagonal block matrices in the direct sum of Banach spaces with the spectrums of their coordinate operators. This problem has been investigated in works [1] and [2]. Also for the singular numbers similar investigation has been made in [3]. In this paper the analogous question is researched. Namely, the relationships between -determinat spectrums of the diagonal block matrices and their block matrices are investigated. Later on, some applications are given.

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