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Browder operators on quaternionic Hilbert space

Sarita Kumari

https://orcid.org/0000-0003-4575-4562

Department of Mathematics, University of Delhi, Delhi, India

E-mail Address: saritapgdav@gmail.com

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and

Preeti Dharmarha

https://orcid.org/0000-0003-4174-5183

Department of Mathematics, Hansraj College, University of Delhi, Delhi, India

E-mail Address: drpreetidharmarha@hrc.du.ac.in

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https://doi.org/10.1142/S0129055X24500156Cited by:0 (Source: Crossref)

Abstract

In this paper, we study the notions of Browder operator and Browder S-spectrum of bounded right linear operator defined over the right quaternionic Hilbert space. Some properties of Browder operator and stability of the ascent, descent and Browder S-spectrum have been investigated in the right quaternionic setting. We also characterize the property of invariant Browder operators and study the spectral mapping theorem of Browder S-spectrum for self-adjoint operators in quaternionic setting. This investigation concludes by exploring the Browder S-spectrum of the sum of two bounded linear operators.

Keywords:

AMSC: 47A10, 47A53, 47B07

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