On Compactness of similarity orbits of norm-attainable, Operators

Date
2019-08
Authors
Mogotu, P. O.
Okelo, N.B.
Ongati, Omolo
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
The notion of compactness plays an important role in analysis. It has been extensively discussed on both metric and topological spaces. Various properties of compactness have been proved under the underlying spaces. However, if we consider these sets to be from similarity orbits of norm-attainable operators, little has been done to investigate their compactness. In this paper, we introduce the concept of compactness of similarity orbits of norm-attainable operators in respect to invariant topological spaces and investigate their properties.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Similarity orbits, Invariant subsets, Compactness, Topological space
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