Mathematics and Computer Science

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Volume 3, Issue 5, September 2018

  • Algorithmic Computation of Annamalai’s Geometric Series and Summability

    Chinnaraji Annamalai

    Issue: Volume 3, Issue 5, September 2018
    Pages: 100-101
    Received: 12 October 2018
    Accepted: 23 October 2018
    Published: 24 October 2018
    DOI: 10.11648/j.mcs.20180305.11
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    Abstract: This paper presents a new mathematical technique for computation of geometric series and summability. This technique uses Annamalai’s computing model of algorithmic geometric series and its mathematical structures for further development of the infinite geometric series and summability. This could be very interesting and informative for current stu... Show More
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  • A Note on Some Equivalences of Operators and Topology of Invariant Subspaces

    Bernard Mutuku Nzimbi

    Issue: Volume 3, Issue 5, September 2018
    Pages: 102-112
    Received: 8 January 2018
    Accepted: 7 February 2018
    Published: 28 December 2018
    DOI: 10.11648/j.mcs.20180305.12
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    Abstract: In this paper we investigate the invariant and hyperinvariant subspace lattices of some operators. We give a lattice-theoretic description of the lattice of hyperinvariant subspaces of an operator in terms of its lattice of invariant subspaces. We also study the structure of these lattices for operators in certain equivalence classes of some equiva... Show More
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