Skip to main content
Log in

Some subreflexive Banach spaces

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

Institutional subscriptions

Bibliography

  1. M. M.Day, Normed linear Spaces. Berlin 1958.

  2. M. M. Day, Reflexive Banach spaces not isomorphic to uniformly convex spaces. Bull. Amer. Math. Soc.47, 313–317 (1941).

    Google Scholar 

  3. P. R.Halmos, Measure Theory. New York 1950.

  4. S. Kakutani, Concrete representation of abstract(L)-spaces and the mean ergodic theorem. Ann. of Math., II. Ser.42, 523–537 (1941).

    Google Scholar 

  5. S. Kakutani, Concrete representation of abstract (M)-spaces. Ann. of Math., II. Ser.42, 994–1024 (1941).

    Google Scholar 

  6. L. H.Loomis, An Introduction to Abstract Harmonic Analysis. New York 1953.

  7. R. R. Phelps, Subreflexive normed linear spaces. Arch. Math.8, 444–450 (1958).

    Google Scholar 

  8. W. W. Rogosinski, Continuous linear functionals on subspaces ofL p andC. Proc. Lond. Math. Soc, III. Ser.6, 175–190 (1956).

    Google Scholar 

  9. J. Schwartz, A note on the space L *p . Proc. Amer. Math. Soc.2, 270–275 (1951).

    Google Scholar 

  10. A. C.Zaanen, Linear Analysis. Amsterdam 1956.

  11. S. I. Zuhovickii, On minimal extensions of linear functionals on continuous function spaces. Izvestija Akad. Nauk SSSR, Ser. Mat.21, 409–422 (1957) (Russian).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The present paper is drawn from the author's thesis “Subreflexive Normed Linear Spaces” which was written under the direction of Professor V. L.Klee at the University of Washington, Seattle, Wash. The author acknowledges the support of the National Science Foundation, U.S.A.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Phelps, R.E. Some subreflexive Banach spaces. Arch. Math 10, 162–169 (1959). https://doi.org/10.1007/BF01240781

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01240781

Navigation