On the spectral radius of positive operators

Autor: Owen Burkinshaw, Y. A. Abramovich, Charalambos D. Aliprantis
Rok vydání: 1992
Předmět:
Zdroj: Mathematische Zeitschrift. 211:593-607
ISSN: 1432-1823
0025-5874
DOI: 10.1007/bf02571448
Popis: Professor J.J. Grobler has kindly pointed out to us that Theorems 4.4 and 5.3 in our paper [1] are false as stated and need correction. The error in the proofs is the tacit claim that T is a nonzero positive operator. To avoid this situation, we need to add the minor extra assumption T 2 4= 0, which is automatically satisfied in all places where Theorems 4.4 or 5.3 are invoked. Therefore, all results in [1] on the positivity of the spectral radius are correct as stated. We follow the terminology and notation of [1] and start by stating and proving the correct version of Theorem 4.4.
Databáze: OpenAIRE
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