Another Characterization of the Invariant Subspace Problem View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1995

AUTHORS

Y. A. Abramovich , C. D. Aliprantis , O. Burkinshaw

ABSTRACT

Recently, L. de Branges [6], building upon the work of V. I. Lomonosov [12], presented a characterization of the dual invariant subspace problem in terms of a denseness property of a certain subspace of vector valued functions. In this paper, we present two companion characterizations—one for the invariant subspace problem and one for its dual—also in terms of denseness properties of some appropriately chosen spaces of vector valued functions and linear topologies on them. More... »

PAGES

15-31

References to SciGraph publications

  • 1987-07. On the invariant subspace problem for Banach spaces in ACTA MATHEMATICA
  • 1982. A Hilbert Space Problem Book in NONE
  • 1978-09. Some invariant subspaces for subnormal operators in INTEGRAL EQUATIONS AND OPERATOR THEORY
  • 1973. Invariant Subspaces in NONE
  • 1991-10. An extension of Burnside’s Theorem to infinite-dimensional spaces in ISRAEL JOURNAL OF MATHEMATICS
  • Book

    TITLE

    Operator Theory in Function Spaces and Banach Lattices

    ISBN

    978-3-0348-9896-6
    978-3-0348-9076-2

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-0348-9076-2_4

    DOI

    http://dx.doi.org/10.1007/978-3-0348-9076-2_4

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1015150688


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