Property (ω) and Hypercyclic Property for Operators

By means of the new spectrum defined with respect to the property of Consistence in Fredholm and Index (CFI) around an operator, we establish the necessary and sufficient conditions for a bounded linear opeator [see formula in PDF] defined on a Hilbert space satisfying the property [see formula in PDF] or hypercyclic property. Moreover, the relation between the operators which satisfy the property [see formula in PDF] and hypercyclic (supercyclic) property is discussed.

Authors

Publication Details

Journal
Wuhan University Journal of Natural Sciences
Published
2024-12-01
DOI
https://doi.org/10.1051/wujns/2024296499
Citations
1
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.97
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Property (ω) and Hypercyclic Property for Operators

Dai Lei, Jianhong Yi
1 citations
Wuhan University Journal of Natural Sciences
Holomorphic and Operator Theory
0.97
article

Property (ω) and Hypercyclic Property for Operators

Dai Lei, Jianhong Yi
article en
1 citations

Abstract

By means of the new spectrum defined with respect to the property of Consistence in Fredholm and Index (CFI) around an operator, we establish the necessary and sufficient conditions for a bounded linear opeator [see formula in PDF] defined on a Hilbert space satisfying the property [see formula in PDF] or hypercyclic property. Moreover, the relation between the operators which satisfy the property [see formula in PDF] and hypercyclic (supercyclic) property is discussed.

Wuhan University Journal of Natural SciencesVol. 29(6)
Openalex Percentile: Top 21%
Holomorphic and Operator Theory
0.97
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Property (ω) and Hypercyclic Property for Operators — Dai Lei, Jianhong Yi · Wuhan University Journal of Natural Sciences (2024) | TGRS Research Map | TGRS