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International Journal of Advanced Mathematical Sciences
   [4 followers]  Follow    
  This is an Open Access Journal Open Access journal
     ISSN (Print) 2307-454X - ISSN (Online) 2307-454X
     Published by Science Publishing Corporation Homepage  [12 journals]
  • Construction of generalized atomic decompositions in Banach spaces

    • Authors: Raj Kumar, Mahesh Joshi, Ram Singh, Ashok Sah
      First page: 116
      Abstract: G-atomic decompositions for Banach spaces with respect to a model space of sequences have been introduced and studied as a generalization of atomic decompositions. Examples and counter example have been provided to show its existence. It has been proved that an associated Banach space for G-atomic decomposition always has a complemented subspace. The notion of a representation system is introduced and exhibits its relation with G-atomic decomposition. Also It has been observed that G-atomic decompositions are exactly compressions of Schauder decompositions for a larger Banach space. We give a characterization for finite G-atomic decomposition in terms of finite-dimensional expansion of identity. Keywords: complemented coefficient spaces, finite-dimensional expansion of identity, G-atomic decomposition, representation system.
      PubDate: 2014-06-15
      Issue No: Vol. 2 (2014)
  • Global dynamics of a vector-borne disease model with latency and
           saturating incidence rate

    • Authors: Ashrafur Rahman
      First page: 125
      Abstract: This paper deals with a vector-borne disease model containing latency and nonlinear incidence rates. Global analysis is completely determined by suitable Lyapunov functionals. We explicitely determine the basic reproduction number and find that if this number is less than one then disease dies out, but if the number is larger than one, the disease causing strain become endemic. The study shows that the latency delay explicitely in°uence the disease persistence. Keywords: Latency, saturating incidence, basic reproduction number, global attractivity, Lyapunov functionals.
      PubDate: 2014-07-19
      Issue No: Vol. 2 (2014)
  • Some properties of positive derivations on f-rings II

    • Authors: R. H. Redfield
      First page: 132
      Abstract: A counterexample is provided to show that Theorem 10(b)(i)  in the article “Some properties of positive derivations on f-rings” by Henriksen and Smith is false. Correct proofs are given for some results in the paper that use Theorem 10(b)(i) in their proofs. Keywords: lattice-ordered ring, f-ring, positive derivation, polynomial ring.
      PubDate: 2014-10-13
      Issue No: Vol. 2 (2014)
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