Bibliography
M. M.Day, Normed linear Spaces. Berlin 1958.
M. M. Day, Reflexive Banach spaces not isomorphic to uniformly convex spaces. Bull. Amer. Math. Soc.47, 313–317 (1941).
P. R.Halmos, Measure Theory. New York 1950.
S. Kakutani, Concrete representation of abstract(L)-spaces and the mean ergodic theorem. Ann. of Math., II. Ser.42, 523–537 (1941).
S. Kakutani, Concrete representation of abstract (M)-spaces. Ann. of Math., II. Ser.42, 994–1024 (1941).
L. H.Loomis, An Introduction to Abstract Harmonic Analysis. New York 1953.
R. R. Phelps, Subreflexive normed linear spaces. Arch. Math.8, 444–450 (1958).
W. W. Rogosinski, Continuous linear functionals on subspaces ofL p andC. Proc. Lond. Math. Soc, III. Ser.6, 175–190 (1956).
J. Schwartz, A note on the space L *p . Proc. Amer. Math. Soc.2, 270–275 (1951).
A. C.Zaanen, Linear Analysis. Amsterdam 1956.
S. I. Zuhovickii, On minimal extensions of linear functionals on continuous function spaces. Izvestija Akad. Nauk SSSR, Ser. Mat.21, 409–422 (1957) (Russian).
Author information
Authors and Affiliations
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
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01240781