Autor: Charalambos D. Aliprantis, Owen Burkinshaw, Y.A. Abramovich
Rok vydání: 1997
Předmět:
Zdroj: Positivity. 1:171-180
ISSN: 1385-1292
DOI: 10.1023/a:1009781922898
Popis: During the last few years the authors have studied extensively the invariant subspace problem of positive operators; see [6] for a survey of this investigation. In [4] the authors introduced the class of compact-friendly operators and proved for them a general theorem on the existence of invariant subspaces. It was then asked if every positive operator is compact-friendly. In this note, we present an example of a positive operator which is not compact-friendly but which, nevertheless, has a non-trivial closed invariant subspace.
Databáze: OpenAIRE