On Compactness of Similarity Orbits of Norm-Attainable Operators


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Authors

  • P. O. Mogotu Jaramogi Oginga Odinga University of Science and Technology, School of Mathematics and Actuarial Science, Bondo, Kenya
  • N. B. Okelo Jaramogi Oginga Odinga University of Science and Technology, School of Mathematics and Actuarial Science, Bondo, Kenya
  • Omolo Ongati Jaramogi Oginga Odinga University of Science and Technology, School of Mathematics and Actuarial Science, Bondo, Kenya

Keywords:

Similarity orbits, invariant subsets, compactness, Topological space

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 aspect of invariant topological spaces and investigate their properties.

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Published

15-06-2019

How to Cite

P. O. Mogotu, N. B. Okelo, & Omolo Ongati. (2019). On Compactness of Similarity Orbits of Norm-Attainable Operators. International Journal of Mathematics And Its Applications, 7(2), 13–21. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/242

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Section

Research Article