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On the existence of an element with given deviations from an expanding system of subspaces

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Abstract

The problem as to whether a Banach space contains an element with given deviations from an expanding system of strictly nested subspaces (which are not necessarily finite-dimensional) is solved under additional restrictions on the deviations or subspaces.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Russia

    P. A. Borodin

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  1. P. A. Borodin
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Translated from Matematicheskie Zametki, vol. 80, no. 5, 2006, pp. 657–667.

Original Russian Text Copyright © 2006 by P. A. Borodin.

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Borodin, P.A. On the existence of an element with given deviations from an expanding system of subspaces. Math Notes 80, 621–630 (2006). https://doi.org/10.1007/s11006-006-0183-7

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  • DOI: https://doi.org/10.1007/s11006-006-0183-7

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