Skip to main content
SpringerLink
Log in

A stability property of the unit vector basis ofl p

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

Let {e n} be the unit vector basis ofl p, l<p<∞, and letx n=anen−bnen+1. Necessary and sufficient conditions are given for the operatorT:l p → span {x n} defined byTe i=xi to be invertible.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. Bessaga and A. Pełczyński,On bases and unconditional convergence of series in Banach spaces, Studia Math.17 (1958), 151–164.

    MATH  MathSciNet  Google Scholar 

  2. M. M. Day,Normed Linear Spaces. Springer-Verlag, 1962.

  3. W. B. Johnson and M. Zippin,On subspaces of quotients of (ΣG n) i p and (σG n)c0, Israel J. Math.13 (1972), 311–316.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. The Hebrew University of Jerusalem, Jerusalem, Israel

    A. Szankowski & M. Zippin

  2. The Ohio State University, USA

    A. Szankowski & M. Zippin

Authors
  1. A. Szankowski
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Zippin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The research of M. Z. was supported in part by an N.S.F. Grant GP-33578.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Szankowski, A., Zippin, M. A stability property of the unit vector basis ofl p . Israel J. Math. 20, 216–227 (1975). https://doi.org/10.1007/BF02760328

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02760328

Keywords

Search

Navigation