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Decomposition of the Space of Regular Operators

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Abstract

Let E be a directed vector space with the Riesz decomposition property and F be a complete vėctor lattice. It is proved that if G is a solid subspace of E then the subspace of all regular operators annihilating on G is a component in the space of all regular operators from E into F.12

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References

  1. C.D. Aliprantis, On order properties of order bounded transformations, Canad. Jour. Math. 27(1975), 666–678.

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  2. R. Cristescu, Ordered Vector Spaces and Linear Operators, Abacus Press, Kent, England-1976.

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  3. R. Cristescu, Order Structure in Normed Vector Spaces, E.S.E. Bucharest, Romania 1983.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Kuwait University, Kuwait

    Ismat Beg

  2. Department of Mathematics, Institute of Civil Marine, Constanta, Romania

    Ioan Mircea Popovici

  3. Department of Mathematics, Civil Engineering Institute, Bucharest, Romania

    Rodica Mihaela Danet

Authors
  1. Ismat Beg
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  2. Ioan Mircea Popovici
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  3. Rodica Mihaela Danet
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Beg, I., Popovici, I.M. & Danet, R.M. Decomposition of the Space of Regular Operators. Results. Math. 32, 281–284 (1997). https://doi.org/10.1007/BF03322138

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  • DOI: https://doi.org/10.1007/BF03322138

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