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JOURNALS
// Matematicheskie Zametki
// Archive
Mat. Zametki,
2024
Volume 116,
Issue 5,
Pages
1047–1050
(Mi mzm11206)
Papers published in the English version of the journal
Invariant closed ideals for upper-triangular positive operators
J. Liu
Department of Mathematics, School of Science, Zhejiang University of Science and Technology, Zhejiang, China
Abstract:
In this paper, it is shown that all upper-triangular positive operators on an
$l_p$
-space
$(1\leqslant p<\infty$
) have (infinitely many) common nontrivial invariant closed ideals.
Keywords:
$l_p$
-space, positive operator, upper-triangular operator, invariant closed ideal, invariant closed subspace.
MSC:
11A07
;
05A10
Received:
01.08.2024
Revised:
03.11.2024
Language:
English
English version:
Mathematical Notes, 2024,
116
:5,
1047–1050
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2025
