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{{Orphan|date=August 2011}}
 
In mathematics, the '''Kallman–Rota inequality''', introduced by {{harvtxt|Kallman|Rota|1970}}, is a generalization of the [[Landau inequality]] to [[Banach spaces]]. It states that  
if ''A'' is the [[Lie algebra|infinitesimal generator]] of a one-parameter [[Contraction (operator theory)|contraction]] [[semigroup]] then
 
: <math> \|Af\|^2 \le 4\|f\|\|A^2f\|. \, </math>
 
==References==
*{{citation
| last1 = Kallman | first1 = Robert R.
| last2 = Rota | first2 = Gian-Carlo | author2-link = Gian-Carlo Rota
| contribution = On the inequality <math>\Vert f^{\prime} \Vert^{2}\leqq4\Vert f\Vert\cdot\Vert f''\Vert</math>
| location = New York
| mr = 0278059
| pages = 187–192
| publisher = Academic Press
| title = Inequalities, II (Proc. Second Sympos., U.S. Air Force Acad., Colo., 1967)
  | year = 1970}}.
 
{{DEFAULTSORT:Kallman-Rota inequality}}
[[Category:Inequalities]]

Revision as of 02:07, 7 January 2014

Template:Orphan

In mathematics, the Kallman–Rota inequality, introduced by Template:Harvtxt, is a generalization of the Landau inequality to Banach spaces. It states that if A is the infinitesimal generator of a one-parameter contraction semigroup then

Af24fA2f.

References

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