Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
G. Ewald, D. G. Larman, C. A. Rogers, The directions of the line segments and of the n-dimensional balls on the boundary of a convex body in Euclidean space. Mathematika, 17(1970), 1–20.
M. G. Krein, L-problems in abstract linear spaces. D.N.T.V.U. Karkov (1938), 171–199.
A. A. Liapunoff, On completely additive vector-functions. Izv. Akad. Nauk S.S.S.R., 4(1940), 465–478.
J. L. Lindenstrauss, A short proof of Liapunoff's convexity theorem. J. Math. Mech., 15(1966), 971–972.
I. Singer, Best Approximations in Normed Linear Spaces by Elements of Linear Subspaces. Die Grundlehren der mathematischen Wissenschaften, Band 171, Springer-Verlag, Berlin-Heidelberg, 1970.
I. Singer, On best approximations in normed linear spaces by elements of subspaces of finite codimension. Rev. Roum. math. pures et appl., 17(1972), 1245–1256.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1977 Springer-Verlag
About this paper
Cite this paper
Ørno, P. (1977). A separable reflexive Banach space having no finite dimensional Čebyšev subspaces. In: Baker, J., Cleaver, C., Diestel, J. (eds) Banach Spaces of Analytic Functions. Lecture Notes in Mathematics, vol 604. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069208
Download citation
DOI: https://doi.org/10.1007/BFb0069208
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08356-6
Online ISBN: 978-3-540-37262-2
eBook Packages: Springer Book Archive