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- W2107546222 abstract "Mityagin posed the problem, whether complemented subspaces of nuclear infinite type power series spaces have a basis. A related more general question was asked by PeÅczyÅski. It is well known for a complemented subspace $E$ of a nuclear infinite type power series space, that its diametral dimension can be represented by $Delta E = Delta {Lambda _infty }(alpha )$ for a suitable sequence $alpha$ with ${alpha _j} geq ln (j + 1)$. In this article we prove the existence of a basis for $E$ in case that ${alpha _j} geq j$ and $sup tfrac {{{alpha _{2j}}}}{{{alpha _j}}} < infty$." @default.
- W2107546222 created "2016-06-24" @default.
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- W2107546222 date "1989-02-01" @default.
- W2107546222 modified "2023-09-25" @default.
- W2107546222 title "On projections in power series spaces and the existence of bases" @default.
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- W2107546222 doi "https://doi.org/10.1090/s0002-9939-1989-0933516-5" @default.
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