On the peripheral spectrum of positive operators
نویسندگان
چکیده
منابع مشابه
On the Point Spectrum of Positive Operators
1. Recently, G.-C. Rota proved the following result: Let (S, 2, p) be a measure space of finite measure, P a positive linear operator on Lx(S, 2, u) with Li-norm and L„-norm at most one. If a, | a\ = 1, is an eigenvalue of P such that af=Pf (JELx), then a2 is an eigenvalue such that a2|/|g"=P(|/|g"), where/=|/|g. It can be added that an|/|gn = P(|/|gn) for every integer n; thus Rota proved for ...
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ژورنال
عنوان ژورنال: Positivity
سال: 2015
ISSN: 1385-1292,1572-9281
DOI: 10.1007/s11117-015-0357-1