WASET
	%0 Journal Article
	%A Yiwan Guo and  Fahui Zhai
	%D 2016
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 109, 2016
	%T Spherical Spectrum Properties of Quaternionic Operators
	%U https://publications.waset.org/pdf/10003650
	%V 109
	%X 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.
	%P 15 - 18