Commenced in January 2007
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Edition: International
Paper Count: 2
Search results for: Yiwan Guo
2 Linear Maps That Preserve Left Spectrum of Diagonal Quaternionic Matrices
Authors: Geng Yuan, Yiwan Guo, Fahui Zhai, Shuhua Zhang
Abstract:
In this paper, we discuss some properties of left spectrum and give the representation of linear preserver map the left spectrum of diagonal quaternionic matrices.Keywords: Quaternionic matrix, left spectrum, linear preserver map.
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 10211 Spherical Spectrum Properties of Quaternionic Operators
Authors: Yiwan Guo, Fahui Zhai
Abstract:
In this paper, the similarity invariant and the upper semi-continuity of spherical spectrum, and the spherical spectrum properties for infinite direct sums of quaternionic operators are characterized, respectively. As an application of some results established, a concrete example about the computation of the spherical spectrum of a compact quaternionic operator with form of infinite direct sums of quaternionic matrices is also given.Keywords: Spherical spectrum, Quaternionic operator, Upper semi-continuity, Direct sum of operators.
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