Pure and Applied Mathematics Journal

Volume 7, Issue 1, February 2018

  • The Study of the Concept of Q*Compact Spaces

    Ibrahim Bassi, Yakubu Gabriel, Onuk Oji Galadima

    Issue: Volume 7, Issue 1, February 2018
    Pages: 1-5
    Received: 24 October 2017
    Accepted: 15 November 2017
    Published: 2 February 2018
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    Abstract: The aim of this research is to extend the new type of compact spaces called Q* compact spaces, study its properties and generate new results of the space. It investigate the Q*-compactness of topological spaces with separable, Q*-metrizable, Q*-Hausdorff, homeomorphic, connected and finite intersection properties. The closed interval [0, 1] is Q* c... Show More
  • On Norm of Elementary Operator: An Application of Stampfli’s Maximal Numerical Range

    Denis Njue Kingangi

    Issue: Volume 7, Issue 1, February 2018
    Pages: 6-10
    Received: 4 February 2018
    Accepted: 8 March 2018
    Published: 27 March 2018
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    Abstract: Many researchers in operator theory have attempted to determine the relationship between the norm of an elementary operator of finite length and the norms of its coefficient operators. Various results have been obtained using varied approaches. In this paper, we attempt this problem by the use of the Stampfli’s maximal numerical range.