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A general approach to Read's type constructions of operators without non-trivial invariant closed subspaces

Författare och institution:
S. Grivaux (-); Maria Roginskaya (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU)
Publicerad i:
Proceedings of the London Mathematical Society, 109 ( 3 ) s. 596-652
ISSN:
0024-6115
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2014
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
We present a general method for constructing operators without non-trivial invariant closed subsets on a large class of non-reflexive Banach spaces. In particular, our approach unifies and generalizes several constructions due to Read of operators without non-trivial invariant subspaces on the spaces l(1), c(0) or circle plus(l2) J, and without non-trivial invariant subsets on l(1). We also investigate how far our methods can be extended to the Hilbertian setting, and construct an operator on a quasi-reflexive dual Banach space which has no non-trivial w*-closed invariant subspace.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
Nyckelord:
Banach-Spaces, Reflexitivity, Mathematics
Postens nummer:
205819
Posten skapad:
2014-11-14 14:34
Posten ändrad:
2016-07-25 11:01

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