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Name for these operators...

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TCL...
Posted: Thu Nov 05, 2009 3:38 am
Guest
What is the name of a linear operator (in an infinite dimensional Banach space) whose spectral radius is strictly less than 1?
If none exist, what would be a good name?
 
Zdislav V. Kovarik...
Posted: Thu Nov 05, 2009 3:49 pm
Guest
On Thu, 5 Nov 2009, TCL wrote:

[quote]What is the name of a linear operator (in an infinite dimensional Banach space) whose spectral radius is strictly less than 1?
If none exist, what would be a good name?

For matrices, the established name is "a convergent matrix". Certainly a[/quote]
person familiar with this term would understand "a convergent operator".

A clumsy but still acceptable term would be "a strict asymptotic
contraction".

Cheers,
ZVK(Slavek).
 
 
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