Invariant Closed Ideals for Upper-Triangular Positive Operators

In this paper, it is shown that all upper-triangular positive operators on an $$l_p$$ -space $$(1\leq p<\infty$$ ) have (infinitely many) common nontrivial invariant closed ideals.

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Publication Details

Journal
Mathematical Notes
Published
2024-12-01
DOI
https://doi.org/10.1134/s0001434624110166
Primary Topic
Advanced Banach Space Theory
Type
article
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article

Invariant Closed Ideals for Upper-Triangular Positive Operators

J. Liu
Mathematical Notes
Advanced Banach Space Theory
article

Invariant Closed Ideals for Upper-Triangular Positive Operators

J. Liu
article en

Abstract

In this paper, it is shown that all upper-triangular positive operators on an $$l_p$$ -space $$(1\leq p<\infty$$ ) have (infinitely many) common nontrivial invariant closed ideals.

Mathematical NotesVol. 116(5-6)
Zhejiang University of Science and Technology (CN)
Openalex Percentile: Top 58%
Advanced Banach Space Theory
DOISourceOpenAlex
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Invariant Closed Ideals for Upper-Triangular Positive Operators — J. Liu · Mathematical Notes (2024) | TGRS Research Map | TGRS