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Infinite type power series subspaces of finite type power series spaces

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Abstract

Nuclear power series spaces of finite type, Λ0(α), and infinite type, Λ∞(α), are considered. Sufficient conditions are given on α for which there exists a β such that Λ∞(β) is isomorphic to a subspace of Λ0(α) and also for which there does not exist such a β. In certain cases it is possible to take β=α. The results in this paper are related to earlier results by S. Rolewicz and V. P. Zaharyuta.

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Authors and Affiliations

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

    Ed Dubinsky

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  1. Ed Dubinsky
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Dubinsky, E. Infinite type power series subspaces of finite type power series spaces. Israel J. Math. 15, 257–281 (1973). https://doi.org/10.1007/BF02787571

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  • DOI: https://doi.org/10.1007/BF02787571

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