The three space problem for locally pseudoconvex algebras

Abstract

The three space problem for locally pseudoconvex algebras is considered in this paper. It is shown that a locally pseudoconvex algebra E, with jointly continuous multiplication, is locally m-pseudoconvex, if E contains a two-sided ideal I such that I (in the subset topology) and E / I (in the quotient topology) are locally m-pseudoconvex algebras.

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Acknowledgements

Research is supported by the institutional research funding IUT20-57 of the Estonian Ministry of Education and Research.

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Correspondence to Reyna María Pérez-Tiscareño.

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Abel, M., Pérez-Tiscareño, R.M. The three space problem for locally pseudoconvex algebras. Rend. Circ. Mat. Palermo, II. Ser 69, 1259–1264 (2020). https://doi.org/10.1007/s12215-019-00469-2

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Keywords

  • Topological algebras
  • Locally pseudoconvex algebras
  • Locally m-pseudoconvex algebras
  • Three space problem

Mathematics Subject Classification

  • Primary 46H05
  • Secondary 46H20