If you need an accessible version of this item please contact JSTOR User Support

Norms as a Function of p Are Linearly Independent in Finite Dimensions

Greg Kuperberg
The American Mathematical Monthly
Vol. 119, No. 7 (August‒September 2012), pp. 601-603
DOI: 10.4169/amer.math.monthly.119.07.601
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.119.07.601
Page Count: 3
  • Download PDF
  • Cite this Item

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If you need an accessible version of this item please contact JSTOR User Support
Norms as a Function of p Are Linearly Independent in Finite Dimensions
Preview not available

Abstract

Abstract We show that there are no non-trivial linear dependencies among p-norms of vectors in finite dimensions that hold for all p. The proof is by complex analytic continuation.

Page Thumbnails