A Note On A Problem Of Abramovich, Aliprantis And Burkinshaw

Autor:	Çağlar, Mert, Mısırlıoğlu, Remzi Tunç
Přispěvatelé:	TR108339, TR108824
Jazyk:	angličtina
Rok vydání:	2011
Předmět:	pozitif operatör strongly compact-friendly operatörler operators lokal yarı-nilpotent güçlü kompakt dostu positive quasi-similarity değişmeyen alt uzay locally quasi-nilpotent pozitif yarı-benzerlik invariant subspace kompakt dostu positive operator compact-friendly
Popis:	Let B and T be two positive operators on a Banach lattice such that B is compact-friendly and T is locally quasi-nilpotent. Introducing the concept of positive quasi-similarity, we prove that T has a non-trivial closed invariant subspace provided B is positively quasi-similar to T. This gives an affirmative answer to a problem of Abramovich, Aliprantis and Burkinshaw with the commutativity condition replaced by the positive quasi-similarity of the corresponding operators. The notion of strong compact-friendliness is also introduced and relevant facts about it are discussed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=od______3400::a7a97d8602365d67f64e726ca2df2dcd http://hdl.handle.net/11413/1374 Zobrazit plný text záznamu