Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
F. Behrend, Uber die Kleninste umschriebene und die grosste einschriebene Ellipse eines konrexen Bereichs, Math. Ann. 115 (1938), 379–411.
S.O. Carlsson, Orthogonality in normed linear spaces, Ark. Mat. 4 (1962), 297–318.
M.M. Day, On criteria of Kasahara and Blumenthal for inner product spaces, Proc. Amer. Math. Soc. 10 (1959), 92–100.
M.M. Day, Normed linear Spaces, Springer Verlag (1958).
J. Oman, Characterizations of inner product spaces, Ph.D. Dissertation, Michigan State Univ., East Lansing, Michigan, 1969.
D.A. Senechalle, Euclidean and non-Euclidean norms in a plane, Ill. J. Math. 15 (1971), 281–289.
-, Equations which characterize inner product spaces, Proc. A.M.S. 40 (1973), 209–214.
K. Sundaresan, Characterizations of inner product spaces, Math. Student 29 (1961), 41–45. *** DIRECT SUPPORT *** A00J4126 00005
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1975 Springer-Verlag
About this paper
Cite this paper
Oman, J. (1975). Norm identities which characterize inner product spaces. In: Kelly, L.M. (eds) The Geometry of Metric and Linear Spaces. Lecture Notes in Mathematics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081137
Download citation
DOI: https://doi.org/10.1007/BFb0081137
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07417-5
Online ISBN: 978-3-540-37946-1
eBook Packages: Springer Book Archive