Demicompact operators and ellipsoid spectra on quaternionic Hilbert spaces

被引：2

作者：

Ammar, Aymen ^{[1
]}

Fakhfakh, Slim ^{[1
]}

Jeribi, Aref ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Soukra Rd Km 3-5,BP 1171, Sfax 3000, Tunisia

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 03期

关键词：

Demicompact operator; Quaternionic Hilbert spaces; Ellipsoid spectrum;

D O I：

10.1007/s13398-020-00882-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this research paper, we attempt to investigate the generalization of the well-known properties of compact operators in quaternionic Hilbert spaces resulting from the study of general operators, especially spectral features of demicompact operators in quaternionic Hilbert spaces. Further more, we introduce the ellipsoid spectrum and display some properties about this new concept.

引用

页数：10

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