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Infinite type power series subspaces of infinite type power series spaces

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Abstract

We consider the problem of finding all power series subspaces of a given infinite type power series space. A necessary condition is obtained which is similar to a property of complemented subspaces of nuclear Fréchet spaces. In some cases, a complete solution is obtained and this leads to new information on a conjecture of C. Bessaga.

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References

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Authors and Affiliations

  1. Clarkson College of Technology, 13676, Potsdam, New York, USA

    Ed Dubinsky

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  1. Ed Dubinsky
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This research was partially supported by the National Science Foundation.

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Dubinsky, E. Infinite type power series subspaces of infinite type power series spaces. Israel J. Math. 20, 359–368 (1975). https://doi.org/10.1007/BF02760339

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  • DOI: https://doi.org/10.1007/BF02760339

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