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On uncomplemented subspaces ofL p , 1 <p <2

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Abstract

It is shown tat, for 1 <p < 2, there is an uncomplemented subspace ofL p [0,1] that is isomorphic to Hilbert space.

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Authors and Affiliations

  1. Indiana University, 47401, Bloomington, Indiana, USA

    G. Bennett, V. Goodman & C. M. Newman

  2. University of Illinois, 61801, Champaign, Illinois, USA

    L. E. Dor

  3. Ohio State University, 43210, Columbus, Ohio, USA

    W. B. Johnson

Authors
  1. G. Bennett
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  2. L. E. Dor
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  3. V. Goodman
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  4. W. B. Johnson
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  5. C. M. Newman
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Additional information

Supported in part by NSF MPS 75-07390

Supported in part by NSF MSP 72-04634

Supported in part by NSF MSP 73-08715

Supported in part by NSF MSP 74-04870 A01

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Bennett, G., Dor, L.E., Goodman, V. et al. On uncomplemented subspaces ofL p , 1 <p <2. Israel J. Math. 26, 178–187 (1977). https://doi.org/10.1007/BF03007667

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  • DOI: https://doi.org/10.1007/BF03007667

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